{
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  "metadata": {
    "colab": {
      "name": "mixture_density_networks.ipynb",
      "version": "0.3.2",
      "provenance": [],
      "include_colab_link": true
    },
    "language_info": {
      "codemirror_mode": {
        "name": "ipython",
        "version": 3
      },
      "file_extension": ".py",
      "mimetype": "text/x-python",
      "name": "python",
      "nbconvert_exporter": "python",
      "pygments_lexer": "ipython3",
      "version": "3.7.3"
    },
    "kernelspec": {
      "display_name": "Python 3",
      "language": "python",
      "name": "python3"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/github/mlelarge/dataflowr/blob/master/CEA_EDF_INRIA/mixture_density_networks_colab.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "4m7MJ5SNtfGf",
        "colab_type": "text"
      },
      "source": [
        "# Mixture Density Networks"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "rEQW4u2XtfGg",
        "colab_type": "text"
      },
      "source": [
        "Notebook credit: [David Ha](http://blog.otoro.net/2015/11/24/mixture-density-networks-with-tensorflow/)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "cE-T-QBJtfGh",
        "colab_type": "text"
      },
      "source": [
        "### Standard Data Fitting\n",
        "\n",
        "Before we talk about Mixture Density Networks, let's perform some standard data fitting using PyTorch to make sure everything works. Neural nets with even one hidden layer can be universal function approximators, so let's try to fit a sinusoidal function.\n",
        "\n",
        "$$y_{true}(x)=7\\sin( 0.75 x ) + 0.5x + \\epsilon$$\n",
        "    \n",
        "- $y_{true}(x)$: this function $y_{true}$ takes $x$ as input.\n",
        "- $7 \\sin( 0.75 x)$: a large periodic $\\sin$ wave.\n",
        "- $0.5 x$: add a slight upward slope.\n",
        "- $\\epsilon$: add some random noise \\\"epsilon\\\"\n",
        "\n",
        "First we import the libraries we need.\n"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "14ZiSEVrtfGi",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "import matplotlib.pyplot as plt # creating visualizations\n",
        "import numpy as np # basic math and random numbers\n",
        "import torch # package for building functions with learnable parameters\n",
        "import torch.nn as nn # prebuilt functions specific to neural networks\n",
        "from torch.autograd import Variable # storing data while learning"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "cRJi6XxqtfGk",
        "colab_type": "text"
      },
      "source": [
        "Then we generate random inputs $x$ to get random samples of $y(x)$. Later we will train a neural net on this data"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "ClcNplyptfGl",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "def generate_data(n_samples):\n",
        "    epsilon = np.random.normal(size=(n_samples))\n",
        "    x_data = np.random.uniform(-10.5, 10.5, n_samples)\n",
        "    y_data = 7*np.sin(0.75*x_data) + 0.5*x_data + epsilon\n",
        "    return x_data, y_data\n",
        "    \n",
        "n_samples = 1000\n",
        "x_data, y_data = generate_data(n_samples)"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Pov-tWYxtfGo",
        "colab_type": "code",
        "colab": {},
        "outputId": "a8547c3a-692d-423b-bbca-bcc892436a69"
      },
      "source": [
        "plt.figure(figsize=(8, 8))\n",
        "plt.scatter(x_data, y_data, alpha=0.2)\n",
        "plt.show()"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
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\n",
            "text/plain": [
              "<Figure size 576x576 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "ZApDnpV5tfGr",
        "colab_type": "text"
      },
      "source": [
        "We will use this data to train a neural network with one hidden layer. This neural network is described by the following equation:\n",
        "\n",
        "$y_{pred}(x) = w_{out} \\tanh( w_{in} x + b_{in}) + b_{out}$\n",
        "\n",
        "- $y_{pred}(x)$: this function $y_{pred}$ takes $x$ as input.\n",
        "- $w_{in}, w_{out}$: weights for the input and output layers.\n",
        "- $b_{in}, b_{out}$: biases for the input and output layers.\n",
        "- $\\tanh$: a nonlinear activation function.\n",
        "\n",
        "Let's create this network using 20 hidden nodes."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "tsMsGrVgtfGs",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "n_input = 1\n",
        "n_hidden = 20\n",
        "n_output = 1\n",
        "\n",
        "# create the network (also called a \"model\" of the data)\n",
        "network = nn.Sequential(nn.Linear(n_input, n_hidden),\n",
        "                        nn.Tanh(),\n",
        "                        nn.Linear(n_hidden, n_output))"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "bj4uDc4stfGu",
        "colab_type": "text"
      },
      "source": [
        "To train the network we must define a loss function. Also called a \"cost function\", this is a description of what counts as \"better\" or \"worse\" results, and allows us to modify the network to achieve the best results.\n",
        "\n",
        "We will use the [mean squared error](https://en.wikipedia.org/wiki/Mean_squared_error) loss function."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "NuHzW7KAtfGv",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "loss_fn = nn.MSELoss()"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "e5ZGLtKetfGx",
        "colab_type": "text"
      },
      "source": [
        "We also need to pick an optimizer. Optimizers use the loss to determine which parameters in the network should be changed, and how much.\n",
        "\n",
        "We will use the RMSprop optimizer, which happens to work well for this problem."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "izxziJ94tfGy",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "optimizer = torch.optim.RMSprop(network.parameters())"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "gzpbQcTGtfG0",
        "colab_type": "text"
      },
      "source": [
        "Now let's move our data from numpy to PyTorch. This requires:\n",
        "\n",
        "1. Converting the data from `np.float64` (numpy default) to `np.float32` (Torch default).\n",
        "2. Reshaping the data from `(n_samples)` to `(n_samples, n_input)`. Typically the first dimension is your batch size, but here we are processing all the samples in one batch.\n",
        "3. Convert from a numpy array to a PyTorch tensor.\n",
        "4. Initialize an input and output `Variable` that we can feed the x and y tensors.\n",
        "\n",
        "We will use this naming convention:\n",
        "\n",
        "- numpy arrays `x_data`\n",
        "- PyTorch tensors `x_tensor`\n",
        "- PyTorch Variables `x_variable`"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "cI8N0eiGtfG1",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "# change data type and shape, move from numpy to torch\n",
        "# note that we need to convert all data to np.float32 for pytorch\n",
        "x_tensor = torch.from_numpy(np.float32(x_data).reshape(n_samples, n_input))\n",
        "y_tensor = torch.from_numpy(np.float32(y_data).reshape(n_samples, n_input)).requires_grad_(False)\n"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "rlDOriGNtfG4",
        "colab_type": "text"
      },
      "source": [
        "Now let's define a training loop. It will use the optimizer to minimize the loss function by modifying the network's parameters."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "_Tj1BurWtfG5",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "def train():\n",
        "    for epoch in range(1500):\n",
        "        y_pred = network(x_tensor) # make a prediction\n",
        "        loss = loss_fn(y_pred, y_tensor) # compute the loss\n",
        "        optimizer.zero_grad() # prepare the optimizer\n",
        "        loss.backward() # compute the contribution of each parameter to the loss\n",
        "        optimizer.step() # modify the parameters\n",
        "\n",
        "        if epoch % 300 == 0:\n",
        "            print(epoch, loss.data.item())\n"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "nJaaS7kktfG9",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "train()"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "5YM9OYpgtfHA",
        "colab_type": "text"
      },
      "source": [
        "Let's see how it performs by processing some evenly spaced samples."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "uytExbk3tfHA",
        "colab_type": "code",
        "colab": {},
        "outputId": "21f964cd-be69-4904-c9f0-23470760f943"
      },
      "source": [
        "# evenly spaced samples from -10 to 10\n",
        "x_test_data = np.linspace(-10, 10, n_samples)\n",
        "\n",
        "# change data shape, move from numpy to torch\n",
        "x_test_tensor = torch.from_numpy(np.float32(x_test_data).reshape(n_samples, n_input))\n",
        "y_test_tensor = network(x_test_tensor)\n",
        "\n",
        "# move from torch back to numpy\n",
        "y_test_data = y_test_tensor.data.numpy()\n",
        "\n",
        "# plot the original data and the test data\n",
        "plt.figure(figsize=(8, 8))\n",
        "plt.scatter(x_data, y_data, alpha=0.2)\n",
        "plt.scatter(x_test_data, y_test_data, alpha=0.2)\n",
        "plt.show()"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 576x576 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "wFePWYswtfHD",
        "colab_type": "text"
      },
      "source": [
        "The network can fit this sinusoidal data quite well, as expected. However, this type of fitting only when we want to approximate a one-to-one, or many-to-one relationship.\n",
        "\n",
        "Suppose we invert the training data so we are predicting $x(y)$ instead of $y(x)$."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "cEn6Jnc1tfHE",
        "colab_type": "code",
        "colab": {},
        "outputId": "2cfe0e59-d6cb-4606-a416-f47b00384b48"
      },
      "source": [
        "# plot x against y instead of y against x\n",
        "plt.figure(figsize=(8, 8))\n",
        "plt.scatter(y_data, x_data, alpha=0.2)\n",
        "plt.show()"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 576x576 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "1Cpy0Rl9tfHH",
        "colab_type": "text"
      },
      "source": [
        "If we use the same method to fit this data, it won't work well because the network can't output multiple values for each input. Because we used mean squared error loss, the network will try to output the average output value for each input."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "5cRZ6CEOtfHI",
        "colab_type": "code",
        "colab": {},
        "outputId": "91e83d86-5037-4a86-f07f-ab4640bcecdb"
      },
      "source": [
        "x_tensor, y_tensor = y_tensor, x_tensor\n",
        "\n",
        "train()"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "0 55.319427490234375\n",
            "300 21.465896606445312\n",
            "600 21.43791389465332\n",
            "900 21.414731979370117\n",
            "1200 21.349809646606445\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "XL8_YyDdtfHL",
        "colab_type": "code",
        "colab": {},
        "outputId": "6c6537cc-7697-460a-ca59-10597e92a406"
      },
      "source": [
        "x_test_data = np.linspace(-15, 15, n_samples)\n",
        "x_test_tensor = torch.from_numpy(np.float32(x_test_data).reshape(n_samples, n_input))\n",
        "y_test_tensor = network(x_test_tensor)\n",
        "\n",
        "# move from torch back to numpy\n",
        "y_test_data = y_test_tensor.data.numpy()\n",
        "\n",
        "# plot the original data and the test data\n",
        "plt.figure(figsize=(8, 8))\n",
        "plt.scatter(y_data, x_data, alpha=0.2)\n",
        "plt.scatter(x_test_data, y_test_data, alpha=0.2)\n",
        "plt.show()"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 576x576 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "7-HZ3I9FtfHN",
        "colab_type": "text"
      },
      "source": [
        "Because our network only predicts one output value for each input, this approach will fail miserably.\n",
        "\n",
        "What we want is a network that has the ability to predict a multiple output values for each input. In the next section we implement a Mixture Density Network (MDN) to achieve this task."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "xZbUPx_FtfHO",
        "colab_type": "text"
      },
      "source": [
        "## Mixture Density Networks"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "iq_ew1jYtfHP",
        "colab_type": "text"
      },
      "source": [
        "Mixture Density Networks, developed by Christopher Bishop in the 1990s, are one way to produce multiple outputs from a single input. MDN predicts a *probability distribution* of possible output values. Then can sample several possible different output values for a given input.\n",
        "\n",
        "This concept is quite powerful, and can be employed many current areas of machine learning research. It also allows us to calculate a sort of confidence factor in the predictions that the network is making.\n",
        "\n",
        "The inverted sinusoid data we chose is not just a toy problem. In [the paper introducing MDNs](http://publications.aston.ac.uk/373/1/NCRG_94_004.pdf) an inverted sinusoid is used to describe the angle we need to move a robot arm to achieve a target location. MDNs are also used to model handwriting, where the next stroke is drawn from a probability distribution of multiple possibilities, rather than sticking to one prediction.\n",
        "\n",
        "Bishop's implementation of MDNs will predict a class of probability distributions called Mixture of Gaussians or Gaussian Mixture Models, where the output value is modelled as a weighted sum of multiple Gaussians, each with different means and standard deviations.\n",
        "\n",
        "So for each input $x$, we will predict a probability distribution function $P(y|x)$:\n",
        "\n",
        "$P(y|x) = \\sum_{k}^{K} \\Pi_{k}(x) \\phi(y, \\mu_{k}(x), \\sigma_{k}(x))$\n",
        "\n",
        "- $k$ is an index describing which Gaussian we are referencing. There are $K$ Gaussians total.\n",
        "- $\\sum_{k}^{K}$ is the summation operator. We sum every $k$ Gaussian across all $K$. You might also see $\\sum_{k=0}^{K-1}$ or $\\sum_{k=1}^{K}$ depending on whether an author is using zero-based numbering or not.\n",
        "- $\\Pi_k$ acts as a weight, or multiplier, for mixing every $k$ Gaussian. It is a function of the input $x$: $\\Pi_k(x)$\n",
        "- $\\phi$ is the Gaussian function and returns the at $y$ for a given mean and standard deviation.\n",
        "- $\\mu_k$ and $\\sigma_k$ are the parameters for the $k$ Gaussian: mean $\\mu_k$ and standard deviation $\\sigma_k$. Instead of being fixed for each Gaussian, they are also functions of the input $x$: $\\mu_k(x)$ and $\\sigma_k(x)$\n",
        "\n",
        "All of $\\sigma_{k}$ are positive, and all of the weights $\\Pi$ sum to one:\n",
        "\n",
        "$\\sum_{k}^{K} \\Pi_{k} = 1$\n",
        "\n",
        "First our network must learn the functions $\\Pi_{k}(x), \\mu_{k}(x), \\sigma_{k}(x)$ for every $k$ Gaussian. Then these functions can be used to generate individual parameters $\\mu_k, \\sigma_k, \\Pi_k$ for a given input $x$. These parameters will be used to generate our pdf $P(y|x)$. Finally, to make a prediction, we will need to sample (pick a value) from this pdf.\n",
        "\n",
        "In our implementation, we will use a neural network of one hidden layer with 20 nodes. This will feed into another layer that generates the parameters for 5 mixtures: with 3 parameters $\\Pi_k$, $\\mu_k$, $\\sigma_k$ for each Gaussian $k$.\n",
        "\n",
        "Our definition will be split into three parts.\n",
        "\n",
        "First we will compute 20 hidden values $z_h$ from our input $x$.\n",
        "\n",
        "$z_h(x) = \\tanh( W_{in} x + b_{in})$\n",
        "\n",
        "Second, we will use these hidden values $z_h$ to compute our three sets of parameters $\\Pi, \\sigma, \\mu$:\n",
        "\n",
        "$\n",
        "z_\\Pi = W_{\\Pi} z_h + b_{\\Pi}\\\\\n",
        "z_\\sigma = W_{\\sigma} z_h + b_{\\sigma}\\\\\n",
        "z_\\mu = W_{\\mu} z_h + b_{\\mu}\n",
        "$\n",
        "\n",
        "Third, we will use the output of these layers to determine the parameters of the Gaussians.\n",
        "\n",
        "$\n",
        "\\Pi = \\frac{\\exp(z_{\\Pi})}{\\sum_{k}^{K} \\exp(z_{\\Pi_k})}\\\\\n",
        "\\sigma = \\exp(z_{\\sigma})\\\\\n",
        "\\mu = z_{\\mu}\n",
        "$\n",
        "\n",
        "- $\\exp(x)$ is the exponential function also written as $e^x$\n",
        "\n",
        "We use a [*softmax*](https://en.wikipedia.org/wiki/Softmax_function) operator to ensure that $\\Pi$ sums to one across all $k$, and the exponential function ensures that each weight $\\Pi_k$ is positive. We also use the exponential function to ensure that every $\\sigma_k$ is positive."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "rbhJV7kBtfHQ",
        "colab_type": "text"
      },
      "source": [
        "Let's define our MDN network."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "XWujC54DtfHR",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "class MDN(nn.Module):\n",
        "    def __init__(self, n_hidden, n_gaussians):\n",
        "        super(MDN, self).__init__()\n",
        "        self.z_h = nn.Sequential(\n",
        "            nn.Linear(1, n_hidden),\n",
        "            nn.Tanh()\n",
        "        )\n",
        "        self.z_pi = nn.Linear(n_hidden, n_gaussians)\n",
        "        self.z_sigma = nn.Linear(n_hidden, n_gaussians)\n",
        "        self.z_mu = nn.Linear(n_hidden, n_gaussians)  \n",
        "\n",
        "    def forward(self, x):\n",
        "        z_h = self.z_h(x)\n",
        "        pi = nn.functional.softmax(self.z_pi(z_h), -1)\n",
        "        sigma = torch.exp(self.z_sigma(z_h))\n",
        "        mu = self.z_mu(z_h)\n",
        "        return pi, sigma, mu"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "tkDgTP96tfHa",
        "colab_type": "text"
      },
      "source": [
        "We cannot use the `MSELoss()` function for this task, because the output is an entire description of the probability distribution and not just a single value. A more suitable loss function is the logarithm of the likelihood of the output distribution vs the training data:\n",
        "\n",
        "$loss(y | x) = -\\log[ \\sum_{k}^{K} \\Pi_{k}(x) \\phi(y, \\mu_{k}(x), \\sigma_{k}(x)) ]$\n",
        "\n",
        "So for every $x$ input and $y$ output pair in the training data set, we can compute a loss based on the predicted distribution versus the actual distribution, and then attempt the minimise the sum of all the costs combined. To those who are familiar with logistic regression and cross entropy minimisation of softmax, this is a similar approach, but with non-discretised states.\n",
        "\n",
        "We have to implement this cost function ourselves:"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "gNGqtifUtfHb",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "oneDivSqrtTwoPI = 1.0 / np.sqrt(2.0*np.pi) # normalization factor for Gaussians\n",
        "def gaussian_distribution(y, mu, sigma):\n",
        "    # make |mu|=K copies of y, subtract mu, divide by sigma\n",
        "    result = (y.expand_as(mu) - mu) * torch.reciprocal(sigma)\n",
        "    result = -0.5 * (result * result)\n",
        "    return (torch.exp(result) * torch.reciprocal(sigma)) * oneDivSqrtTwoPI\n",
        "\n",
        "def mdn_loss_fn(pi, sigma, mu, y):\n",
        "    result = gaussian_distribution(y, mu, sigma) * pi\n",
        "    result = torch.sum(result, dim=1)\n",
        "    result = -torch.log(result)\n",
        "    return torch.mean(result)"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "FsLFbcWbtfHd",
        "colab_type": "text"
      },
      "source": [
        "Let's create our MDN with 20 hidden nodes and 5 Gaussians."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "nRucw_f0tfHe",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "network = MDN(n_hidden=20, n_gaussians=5)"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "8bAbZRCztfHj",
        "colab_type": "text"
      },
      "source": [
        "We'll use a different optimizer this time called Adam that is more suited to this task."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "uoPKcgCutfHk",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "optimizer = torch.optim.Adam(network.parameters())"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "EdEvsVVntfHn",
        "colab_type": "text"
      },
      "source": [
        "We could generate more data to train the MDN, but what we have is nearly enough."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "trhw339ltfHn",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "mdn_x_data = y_data\n",
        "mdn_y_data = x_data\n",
        "\n",
        "mdn_x_tensor = y_tensor\n",
        "mdn_y_tensor = x_tensor"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "S3hTYEp0tfHq",
        "colab_type": "text"
      },
      "source": [
        "Finally, let's define a new training loop. We need a training loop that can handle the new loss function, and the MDN needs to train longer than the previous network."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Q2uGvyEttfHq",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "def train_mdn():\n",
        "    for epoch in range(5000):\n",
        "        pi, sigma, mu = network(mdn_x_tensor)\n",
        "        loss = mdn_loss_fn(pi, sigma, mu, mdn_y_tensor)\n",
        "        optimizer.zero_grad()\n",
        "        loss.backward()\n",
        "        optimizer.step()\n",
        "        \n",
        "        if epoch % 500 == 0:\n",
        "            print(epoch, loss.data.item())\n",
        "\n"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "kJxS_xYltfHs",
        "colab_type": "code",
        "colab": {},
        "outputId": "f09991b0-f7ff-402a-b213-22931aacf916"
      },
      "source": [
        "train_mdn()"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "0 9.176348686218262\n",
            "500 2.8196661472320557\n",
            "1000 2.654609203338623\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "error",
          "ename": "KeyboardInterrupt",
          "evalue": "",
          "traceback": [
            "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
            "\u001b[0;31mKeyboardInterrupt\u001b[0m                         Traceback (most recent call last)",
            "\u001b[0;32m<ipython-input-30-78db096324aa>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mtrain_mdn\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
            "\u001b[0;32m<ipython-input-29-9c8672372a1c>\u001b[0m in \u001b[0;36mtrain_mdn\u001b[0;34m()\u001b[0m\n\u001b[1;32m      4\u001b[0m         \u001b[0mloss\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mmdn_loss_fn\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mpi\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0msigma\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mmu\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mmdn_y_tensor\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      5\u001b[0m         \u001b[0moptimizer\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mzero_grad\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 6\u001b[0;31m         \u001b[0mloss\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mbackward\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m      7\u001b[0m         \u001b[0moptimizer\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mstep\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      8\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
            "\u001b[0;32m~/miniconda/lib/python3.7/site-packages/torch/tensor.py\u001b[0m in \u001b[0;36mbackward\u001b[0;34m(self, gradient, retain_graph, create_graph)\u001b[0m\n\u001b[1;32m    105\u001b[0m                 \u001b[0mproducts\u001b[0m\u001b[0;34m.\u001b[0m \u001b[0mDefaults\u001b[0m \u001b[0mto\u001b[0m\u001b[0;31m \u001b[0m\u001b[0;31m`\u001b[0m\u001b[0;31m`\u001b[0m\u001b[0;32mFalse\u001b[0m\u001b[0;31m`\u001b[0m\u001b[0;31m`\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    106\u001b[0m         \"\"\"\n\u001b[0;32m--> 107\u001b[0;31m         \u001b[0mtorch\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mautograd\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mbackward\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mgradient\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mretain_graph\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mcreate_graph\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    108\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    109\u001b[0m     \u001b[0;32mdef\u001b[0m \u001b[0mregister_hook\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mhook\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
            "\u001b[0;32m~/miniconda/lib/python3.7/site-packages/torch/autograd/__init__.py\u001b[0m in \u001b[0;36mbackward\u001b[0;34m(tensors, grad_tensors, retain_graph, create_graph, grad_variables)\u001b[0m\n\u001b[1;32m     91\u001b[0m     Variable._execution_engine.run_backward(\n\u001b[1;32m     92\u001b[0m         \u001b[0mtensors\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mgrad_tensors\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mretain_graph\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mcreate_graph\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 93\u001b[0;31m         allow_unreachable=True)  # allow_unreachable flag\n\u001b[0m\u001b[1;32m     94\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     95\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
            "\u001b[0;31mKeyboardInterrupt\u001b[0m: "
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "3XiEs-1VtfHu",
        "colab_type": "text"
      },
      "source": [
        "Once the training is finished, we can observe all the parameters for the Gaussians and see how they vary with respect to the input $x$."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "i2hkft7OtfHv",
        "colab_type": "code",
        "colab": {},
        "outputId": "e17485e8-7d28-4253-ea8e-ad079d0da421"
      },
      "source": [
        "pi, sigma, mu = network(x_test_tensor)\n",
        "\n",
        "pi_data = pi.data.numpy()\n",
        "sigma_data = sigma.data.numpy()\n",
        "mu_data = mu.data.numpy()\n",
        "\n",
        "fig, (ax1, ax2, ax3) = plt.subplots(3, 1, sharex=True, figsize=(8,8))\n",
        "ax1.plot(x_test_data, pi_data)\n",
        "ax1.set_title('$\\Pi$')\n",
        "ax2.plot(x_test_data, sigma_data)\n",
        "ax2.set_title('$\\sigma$')\n",
        "ax3.plot(x_test_data, mu_data)\n",
        "ax3.set_title('$\\mu$')\n",
        "plt.xlim([-15,15])\n",
        "plt.show()"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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ABwZ5BYNY3dPBPssiw+7lnbHrdvaab/n86Na2mPnRvjo7u9dJiK43DX0CvN8bBEfvoFfOnvbYI2cMlM2Ostki43Zb9zg2W2RZn/nKZoNB59sib0a65ptmYn7eQUhQC5Eh3AW9g7oj2IEv5EubW7P6Wli2kNnFs7l/3f2cPfPspHypSKi5Gc/LL9P+/At0vPUWurMTlMI5YwY5Rx1N1oEH4Jx1AM7p0zBLSpJ29KeUAocD0+EA3EmpIZbWGh2MeSMQE+BWnzcAQ823+r1h6P+mQfs7CbW1937T0LW9zk50KDTsmY29ZhiRwO4Kf7u9V7B3zx8lCWohMoQjy4Yj24anJRLU6fawk76UUlw4+0KuXXEtK3euHLczAzoUwvPqqzQ/8igdK1eCZWGvrKTga1/FffjhuA45BLOgYFxqSVdKqcipa4cj2aUAoMPhyBuHUCgyDAYhFOqZDoUi1woEA4PMD6JD0XWCwci8UM98HQpBv/mhyLKubQVH/7Q9CWohMkhOoRNPU+Re6u6HnaThxWRdTpp8Ev+z6n+4f939Yx7UltdL88OP0HTPPYTq6rCVlVF86aXknbQY54EHymelaUx1XXiXbH/766hWiyuolVInA38ATOAOrfXNA7T5KnADoIEPtdbnj6oiIcSo5RQ66eg6ou562EkaPOd7MHbTzrkHnMut79/KxuaN7F+4f8K3oQMBmh54kMY77iDc2IjriCOo+MX15Bx3nFwBLVLCsB/6KKVM4M/AF4HZwHlKqdl92swArgWO0lrPAb4/BrUKIYaRU+Ds/oy63pf+R9QA58w8hywzi/vX3Z/wvj2vr2TzGWdS95vfkDVrFpMffIDJ99xN7gknSEiLlBHP1RmHARu11pu11gHgYeDMPm0uBf6stW4G0FrXJbZMIUQ8coqy8LYHCIcs6r315NhzcNldyS5rrxRkFXD69NN5ZtMzNPmbEtJn2NPBruuuY8e3v43WFhNvX8qku+7EdfDBCelfiESKJ6grgR0x0zXRebFmAjOVUiuVUm9FT5ULIcaZu8AJGjpaOiNPJUvTC8n6umD2BQStIA+se2Cv+/J99DFbzjqL1if+SfGSJUx75hlyjknPW9jEviGeoB7oCoq+17rbgBnAIuA84A6lVL/LIpVSS5RSq5RSq+rr60daqxBiGF1PJ/O0dEaeSpamt2b1NS1/GidOPpEH1z1IW6Bt1P20PvMs2y64AB0OMfm+eyn7wdWRe22FSGHxBHUNMDFmugrYNUCbp7TWQa31FmA9keDuRWu9VGtdrbWuLi3NjHf6QqQSd370MaIZdkQNsGTeEjxBDw+te2jE62qtqf/jn9h1zTVkH3QQUx9/HFd19RhUKUTixRPU7wIzlFJTlVIO4Fzg6T5tngQ+D6CUKiFyKnxzIgsVQgyv66EnmRjUBxQdwHFVx3HfuvvwBr1xr6e1pu7mm2n485/J//KXmXTXndiKisawUiESa9ig1lqHgMuB54B1wKNa67VKqRuVUmdEmz0HNCqlPgFeAa7RWjeOVdFCiIE5XTZMu0FTUxtBK5gxp767XDrvUlo7W3l0/aNxtddaU3vjjTT9/V4KL7yQCb/6r8iDOIRII3Hdf6C1XgYs6zPv+phxDfwg+hJCJIlSCne+g+YmD2Sn71PJBjO/dD5HTDiCu9fezVdnfXXYK9rrb72Vlocepvjbl1D6wx/KQ0tEWpLvoxYiw7gLnHhafED630M9kMsWXEaTv2nYK8CbH3qIxtv+SsE5Z0tIi7QmQS1EhnHnO/G1Rp4rnIlBvaBsAYsmLuKuj++ixd8yYBvPitepvfGX5CxaRMUvfiEhLdKaBLUQGcad7yTsiQRTOj8+dChXLrySjmAHd3x0R79lgZqd7PrRj3DOmEHlLb+XJ4yJtCdBLUSGcRc4IWhQYpbhMDPzwqkZhTM4ffrpPPTpQ+zy9NwtanV2svOqq9CWRdUfb8VwpfdT2YQACWohMo67IBLOlcbkJFcytq5YeAWGMvjvVf/dPa/u97/Hv3Yt+918E47Jmf3zi32HBLUQGabroSfluu+TfjNLhbuCS+ddygvbXuDNXW/S8dbbNN97H4Xnn0/uCSckuzwhEkaCWogM0/XQkyKrPMmVjL1vzvkmE3Mncstr/8Wun/0M++RJlP3oh8kuS4iEkqAWIsNk5UYunsoLZv7Tt5ymk58e9lOOeWoLwd272e/mm+VzaZFxJKiFyDAe1Uan6cMVyEt2KePi0MZ8TvxA869DDXZOyUl2OUIknAS1EBmmzluH19GK3Z/5R5Y6HKb2/92IWVLCcycW8vOVPydkhZJdlhAJJUEtRIap99bTYW9Dee3JLmXMNT/8MP5PPmHCz37Gj479OWsb1w54b7UQ6UyCWogMU+eLHFGHPMmuZGyFW1upv/WPuD93JLknn8ziKYs5ddqp3Pbhbbyz+51klydEwkhQC5Fh6r31eB1t+NtCRL4vJzM13n47VlsbZT/5SfcjQq8/4nqm5E3hmteuoc5bl+QKhUgMCWohMkydtw7cQayQprMjMz+vDe7eTdO995F/xhlkzZrVPd9ld3HLolvwhXz88NUf0hnuTGKVQiRGXEGtlDpZKbVeKbVRKfXTIdqdrZTSSqnqxJUohBiJOm8d9tzIf9odrZkZVPV/+hNoTemVV/RbNr1gOjcedSMf1H/Ada9fh6WtJFQoROIMG9RKKRP4M/BFYDZwnlJq9gDtcoErgbcTXaQQIn71vnrc+ZHHiHpaMi+oOzdsoPWfT1L49a9jrxz46WsnTzmZHxzyA57b+hy3rLplnCsUIrHiOaI+DNiotd6stQ4ADwNnDtDul8BvAX8C6xNCjFCdt478IjcAHRkY1PV/+QuGy0XxfywZst1Fcy7ivAPO4++f/J0/vv/HjP68XmS2eL7/rRLYETNdAxwe20AptRCYqLV+Vin1owTWJ4QYgaAVpMnfRFFxPhrwZtip78COHbQ/9zzFl1yMrbBwyLZKKX562E8JhAMsXbOUYDjI1YdcLd9NLdJOPEE90F9191tTpZQB/A9w0bAdKbUEWAIwadKk+CoUQsSt0dcIQHlOKS1uOx0tgSRXlFhNd98DpknhBRfG1d5QBtcfeT02w8bda++myd/E9Uden7Ff/ykyUzynvmuAiTHTVcCumOlcYC7wqlJqK3AE8PRAF5RprZdqrau11tWlpZn5hfZCJFPXLUmlrlLcBc6Mupgs1NxMyxNPkH/66djLy+Jez1AG1x1+Hd+Z/x2e2vQUlz5/KU3+pjGsVIjEiieo3wVmKKWmKqUcwLnA010LtdatWusSrfUUrfUU4C3gDK31qjGpWAgxqK6gLnOV4S5wZNRn1M0PPIj2+ym++FsjXlcpxWULLuN3x/6OtY1rOfvps3lj1xtjUKUQiTdsUGutQ8DlwHPAOuBRrfVapdSNSqkzxrpAIUT8ajtqAahwVeDOd2ZMUFs+H80PPEDOokU4999/1P2cPPVkHjjlAfIcefzHC//Bze/cjCeQ4Y9wE2kvrvuotdbLtNYztdbTtda/is67Xmv99ABtF8nRtBDJUdtRS5aZRb4zH3eBE29bAMtK/6udW598knBzM8WXXLzXfc0qmsXDpz3M+Qecz4PrHuSMJ8/g2c3Pyv3WImXJk8mEyCC13lrK3eUopXDnO9AafO3pfUGZDodpvPsesubPI7s6Mc9SyrJlce3h1/LgqQ9S5irj2hXX8pWnv8JzW5+TwBYpR4JaiAxS21FLhasCAHeBE0j/e6nbX3iR4PbtFF98ScJvrZpbMpcHTnmA3x77Wyxt8aPlP+KMJ8/g72v/Tou/JaHbEmK0JKiFyCC1HZEjasiMoNZa03jXXdgnTyL3xBPGZBumYfLFqV/kiTOe4LfH/pZCZyH/veq/OeGxE7jq5at4ZtMztAXaxmTbIrNprQlaQXwh315dCxHPfdRCiDQQskLU++qpcEePqPOjQd2avqe+fatW4V+zhopfXI8yzTHdVldgf3HqF1nftJ4nNjzBi9te5OUdL2MzbCwoXUB1RTWHlh/K3JK5uOyuMa1HDMzSFoFwgM5wJ0Er2D0eCAciLysyDFpBguEgQR0ZhqwQQWvg4VDL4m07WPtEkKAWIkM0+BqwtNUd1Nm5dpRK7yPqxjvuxCwqIv+ss8Z1u7OKZnHt4dfyk8N+wkcNH/HStpd4u/Ztlq5Zyl/1X1EoJudN5oCiA5hZOJNJeZOoyq2iKqeKPEdexj39TGtNyAoRsHpCMRgORsajwdgdmNbAy2LDtbuPmPHYkB2qv0SFXyy7Ycdm2IYcxo5n27L7tRlwPdOOTdm6l180/HPBBiRBLUSG6Lo1q9wVOfVtmAbZeY60fehJ58aNeJYvp+SKyzGyspJSg6EM5pfOZ37pfADaA+28X/c+axvW8mnTp3zU8BH/3vrvXuvk2HMozi6mKKuIQmchhVmRl8vmwmV3kW3L7n5l2bIwlYlCYRomhjIi00phKhOtNZa2COtw5GWFe01b2iJshQnpUHe4dR1lxoZe33mxwRcMB3vaxoZin/DU7P3dA4YycBgOHGbk5TSd2A17r3GXzUWBs6C7TWx7hxFtZ9pxms7ey/r05zAc2E37sIHatb/HgwS1EPu4Wm/0HuroETVAToEzbR8j2njX3aisLArPPz/ZpXTLdeRybNWxHFt1bPe8jmAHNe011HhqqGmvYZdnF03+Jpr8TWxv384H9R/Q2tlKWIeTUrOpTBymo1eAOcyeEOuadtldOA1nv+DrG5S9QtG0d4fnUMHatT2bsmXc2YbxIEEtRIbY07EH6B3Urnwn7Y3p94V2wT17aH3mGQq/+tVhv3wj2dx2N7OKZjGraNagbbTWBKwAvqAPX6jn5Q/7sbTVfZTcPR49ckaBTdm6j7Rjj7oNZWAzbN3D2ICMDWXTGNvP9sXYk6AWIkPUdtTisrnIted2z3MXOKnd3JrEqkan+b77IBym6FsXJbuUhFBK4TSdOE0nBRQkuxyRZuT2LCEyxC7PLia4J/Q6tejOd+D3BAkH0+chHmGPh+aHHyH3pMU4qqqSXY4QSSdBLUSG2OHZwcTcib3mdd9L3ZY+F5S1PPIolsdD8cWXJLsUIVKCBLUQGUBrTU17DVW5vY9Au4Lamyb3UutAgKZ778V1+OFkHzQ32eUIkRIkqIXIAI3+RnwhX/8j6uhDTzzN6XFE3bpsGaE9exLy5RtCZAoJaiEywI72HQADnPp2AKTFvdRaa5ruvAvnjBm4jzkm2eUIkTIkqIXIAIMFdZbbjmEqvGkQ1B0rVtC5YQNFl1ws99oKESOuoFZKnayUWq+U2qiU+ukAy3+glPpEKbVGKfWSUmpy4ksVQgxmR/sODGVQmVPZa37k6y6deNLgMaKNd96Frbyc/FNOSXYpQqSUYYNaKWUCfwa+CMwGzlNKze7T7H2gWms9D3gc+G2iCxVCDG5zy2aqcqqwm/Z+y3KLs2hvSO2Hnvg++ADv229TdNFFKIcj2eUIkVLiOaI+DNiotd6stQ4ADwNnxjbQWr+itfZGJ98C5OZHIcbR5tbNTCuYNuCygrJsWuq8Ay5LFQ1Lb8fMz6fwq+ckuxQhUk48QV0J7IiZronOG8wlwL/2pighRPyCVpCtbVuZnj99wOX5ZS587UECvsR/61Ai+D/7DM/LL1N4wQUYbneyyxEi5cQT1ANd1THg16gopS4AqoHfDbJ8iVJqlVJqVX19ffxVCiEGtaNtByErxPSCgYO6oCzyvcmpelTdeMcdKJeLwgu+nuxShEhJ8QR1DRB7KWkVsKtvI6XUicB1wBla6wGvXNFaL9VaV2utq0tLS0dTrxCij40tGwEGDer8smwAWut841ZTvAI1NbT937K0+PINIZIlnqB+F5ihlJqqlHIA5wJPxzZQSi0E/kYkpOsSX6YQYjDrm9djKpOp+VMHXJ5fGgnqVDyibvzbUjCMjPnyDSHGwrBBrbUOAZcDzwHrgEe11muVUjcqpc6INvsdkAM8ppT6QCn19CDdCSESbG3DWqYXTCfblj3gcpvDJLc4i+bdHeNc2dA6t2yh5YknKPza17CXlye7HCFSVlxfc6m1XgYs6zPv+pjxExNclxAiDlprPm78mBMmnTBku+LKHBp2plZQN/zxTyiHg8uPL5gAACAASURBVJLv/EeySxEipcmTyYRIYzWeGlo7W5lTPGfIdiVVObTs8RIKhsepsqH5P/2UtmXLKPrGN7CVlCS7HCFSmgS1EGlsTf0aAOaWDP1NU8WVOWhL07w7+Z9Ta62p+/0tGHl5FF/8rWSXI0TKk6AWIo29U/sOuY5cZhXOGrJdSVUOAA017eNR1pA8r7xKx4oVlHz3u5j5+ckuR4iUJ0EtRBp7e/fbHFp+KKZhDtkurzQbe5bJnq3JDWqrs5M9N92EY/p0iuS+aSHiIkEtRJra0baDnZ6dHD7h8GHbGoZiwrR8aje1jENlg2tcejvBHTuouO5nKHv/55ILIfqToBYiTb20/SUAjqmK77ubJ+yfT+OuDvwdwbEsa1C+tWtp+NvfyDvtNNyf+1xSahAiHUlQC5Gmnt/2PLOLZ/f7DurBVEwvAA21m1rHuLL+rECA3df+DFthIRX/ed24b1+IdCZBLUQa2ta2jY8aPmLx5MVxr1MxLQ+bw2Dbx41jWNnA6m6+mc7PPqPilzdiFhSM+/aFSGcS1EKkoYc+fQibYePM/c8cvnGUzW4yaU4xW9Y0oK0Bv1dnTLT84x80P/gQRZdcTO6iReO2XSEyhQS1EGmm2d/Mkxuf5KQpJ1GSPbKHhUydX0JHSyd7traNUXW9dbz5JrU3/D9cRx5B2dVXj8s2hcg0EtRCpJnbPrwNf8jPpQddOuJ1p80vxe40Wbti5xhU1pv3vffZ8b3LcEyZQuUtt6BscT2xWAjRhwS1EGlk9Z7VPLL+Ec6eefagX2s5FEe2jVmHV7Dh3Tq8bYExqDCi/dVX2fHtb2MvK2PSXXfKV1gKsRckqIVIEzXtNVyz/Boqcyq5+pDRn0aef8JEtKV5+5nNCawuQofDNNx+OzXfuwzH1KlMuvdebPLd80LsFQlqIdLAmvo1fONf36Az3Mmtn78Vt9096r4Kyl3MXVTJJ6/vYscnTQmr0f/ZZ2y74ELqf38LuYsXM/m+e7GXlyWsfyH2VXF9aKSUOhn4A2ACd2itb+6z3AncCxwCNAJf01pvTWypQux76rx13P3x3Tz86cOUu8v56xf+yv6F++91v0ecOZ2aT5t57o6POe3y+VRMG90zt7XW+D9eS9O999L27LMYubns99vfkHf66SilBl3PsjStviD1nk4a2jsjQ0+A5o4Ans4QHZ0hvIEwns4Q3kAIXzBM2IKwZRG2NJaGsKUJR69eNwwwlcIwFIZSmEqhFJjR6cj82DZE2hkKpXqWdY/3Wc9Q0emu8X599PStFCgiP3vXLujaEz3TvZfHtumaOdw6/ZYPsL+HWzcRhvg1j7yvBFaWyLqSbdigVkqZwJ+BLwA1wLtKqae11p/ENLsEaNZa76+UOhf4DfC1ITvubIONL0X3phpiaAyxjBG0HWAYd9vB+mWE9Q5WgxARwXCQLW1bWL1nNa/vfJ3Xd76O1pqvzPwKVy28ioKs+O5B1uEg7QFNY0eQUNgiP9tOXradLHvkmeB2p8mp35vHU3/4gH/+93ssWDyJBSdMJDvXMWzfVmcn/rWf4FnxGp6XX6Fz/XpUdjaFl1yCOvdCdtuy+GhjIw2eTho80RBuD3RPN3g6afQECA1wi5hpKNwOE7fTFnk5TFwOG6U5NkzDwGZEgtEwFLZomAJYWkcDPPqyIKw1unt+3zYQClvd413rha3Im4+utrprvWifumtc07vvmH7DOvpzdQ8iI31mo3XPz98zL65fr9jHKD3MX4ZS6kjgBq31SdHpawG01jfFtHku2uZNpZQNqAVK9RCdV+9n6lVLchLwI2SC4cLcGGTZAOsO2naAdeNuG9vv3tQ7wJubgdoOOG+gN0LG4OsN2d9QfQzW3yDjKDQQUtF/0JUihMYCQkAAC58VwqdD+GLHdYj2cCeNYR8NIS+NIS87g61s72wmHP1ne4Itl5PdUzk9azKV2o4V9BEK+An5O7A6PVidHeiAFxXswAh6sYV92C0fWdqPnRCd2k49+TTofGp1EbVWAU26iA5bEQF7MZa9gGzTRW5jIbaWLLTSGO4wNlcAuyOEYXaiwn7snkayWurIbm4gr3Y7+XU7MbSFpRTbyqfxxtRqXq5cSG3YxkC3Z9tNRUmOM/pyUJLjpDQ3Op0bmVcWnc7Ptg95JL6v6fondLCQ7xvwmpjw7/O7GKjN3teXsK4SWFXvN0F73Vei+tFQ4HKs1lpXj3TdeE59VwI7YqZrgL7fAtDdRmsdUkq1AsVAw2Cdtnic/HPl1AGW6OFPfvTbcz0z4vlPXA2xflx9xDRX0Rm61/RIt99n+V7+aQzdv0ZhRcfDgzUZvO/RbF/16XTYn38Yia4vDrrPcLB58dRgaHATeVUQ+TzJpjWmBgcah6Vxao0dH1AHvM0urdDRv4zIb9CIDrvmK1BuULkorVBaY1gWKhTGGfYzObyTyXrwW7I87gnsrjiSpsID6MippPfTwCeCtjDzOjHywqhZYQxlYZhhDCPMLCwOaG2LVKHoHnbtC6U0qgPY07W3ev4bD6DZDeyO7kWlBtur42uv3yqMqIPBGidqH4zup4n/36ExemM1mv9QM1Q8QT3QbyGef5v67WWl1BJgCcD03GyM+D4iH7AiPcjfRjyRrem/ft/W3f+UjPJvcLD6Bt9iPOvHX8xg2+/6DGjY/wSG2dRgb6e65g7383etP+g/UQn5+QevcaS/n8h+ixxFK0330bSKWRoZ9pw16PmfgYGBir4MDJQyomMmGkUQTRAIKDAUYJgoZUSGhomhjO7PTu2mgd1u4jCj46bR+xMUw0Q5HCi7PfKKHTcslOVHhTtQYR9KhVEqhNJBDlANKF4lhI32kJuOUC6dloOQmUVIOQmEbGgNYcvA0gaWVliWgdYGFgp0199V9BpV3fvvpHtcR/aV7jsf0MP/YhJgmL/+fjWMf2AkbIt70VEyY1Iiurd4krIGiH3qfxWwa5A2NdFT3/lAv8tJtdZLgaUA1dXV+swXVo2mZiHEGJOncQsxBn5z/qhWi+f2rHeBGUqpqUopB3Au8HSfNk8D34yOnw28PNTn00IIIYSIz7BH1NHPnC8HniPycdpdWuu1SqkbgVVa66eBO4H7lFIbiRxJnzuWRQshhBD7irg+JNZaLwOW9Zl3fcy4HzgnsaUJIYQQQp5MJoQQQqSwYe+jHrMNK9UOrE/KxtNLCUPc5iZ6kX0VH9lP8ZN9FR/ZT/GZpbXOHelKyfzeufWjufF7X6OUWiX7KT6yr+Ij+yl+sq/iI/spPkqpUd3qJKe+hRBCiBQmQS2EEEKksGQG9dIkbjudyH6Kn+yr+Mh+ip/sq/jIforPqPZT0i4mE0IIIcTw5NS3EEIIkcIkqIUQQogUJkEthBBCpDAJaiGEECKFSVALIYQQKUyCWgghhEhhEtRCCCFECpOgFmIfoJSyK6V+pZTaqpQKKqV09PVhsmsTQgwtmV/KIYQYP/8FHAccAzQBTwFtwI+SWZQQYnjyZDIhMpxSKheoA+ZprTdE530X+JrWelEyaxNCDE9OfQuR+Y4FNneFdFQhUJukeoQQIyBBLUTmKwWauyaUUgo4C3g2aRUJIeImQS1E5vsYOFgptUAplQ3cBGjgkeSWJYSIhwS1EBlOa70K+BWwDNgMVACnaK2DSS1MCBEXuZhMCCGESGFyRC2EEEKkMAlqIYQQIoVJUAshhBApTIJaCCGESGFJe4RoSUmJnjJlSrI2L4QQQoyr1atXN2itS0e6XtKCesqUKaxatSpZmxdCCCHGlVJq22jWk1PfQgghRAqToBZCCCFSmAS1EEIIkcLk+6iHoLXGCmtCgTChgEUwOgwFw1ghjRW2sMKacLhn3ApZ0emYeWFNOGShrTifAqcUhqkwbUb0pTDtBqYZnbYb2LNMnNk2HNk2HFkmjiwbylBju0OEEEKMu7QMaq01Vkj3BGcgTCgYMx4TquFgmGDM/MgwTChodU/3BHDM8uiydHrCqj3LxOmy4cpz4spz4Mp34Mpz4M5z4C7MIq8ki/ySbGwOM9mlCiGEiFPSgtrXHuD957dHA3aAMA32DdfIkWxXO0YRoIapsDlMbA4Dm8PE7jAw7ZGhK8/RPd9mN/q0MyNHsdFp0x45sjVMhWFGjngNU2EYBkZ03DS7xg1MMzJPGYrINwwOTVs9R+G9XsGeeQF/iIAvHB2G6PRFh94Q3rYA7Y1+9mxpxecJ9ttX7nwHeaXZ5JdmU1yZQ3FVDiVVOWTnOEa+U4UQQoyphAW1UqoAuAOYSyQaLtZavzlY+/amTt54YiMAps2IhGJ3QHaFpIEr34EtGqY2h4npMLB3Lbf3hGls+Nq6gzWmL7uBYabHR/LKUJhG5HT33rLCFr72IO3NftrqfbQ1+Gitj7y2r23i0zdru9u68x2UTMplwvR8JuxfQPnkvITUIIQQYvQS9u1ZSqm/Ayu01ncopRyAS2vdMlj7gxceot96821sDhNDPltNGm9bgMYaDw01Hhp2tlO/rZ3mWi8QeQNVNiWXqgOKmHJQMaUTc+VzcCGEGCWl1GqtdfWI10tEUCul8oAPgWk6zg6rq6u1PPAkNfk8AXZvbGX3xhZ2bWihbns7aHDlOZh8UDHTFpQycXYRZpqcoRBCiFQw2qBO1KnvaUA9cLdSaj6wGrhKa92RoP7FOMrOcTBtQSnTFkSedOdrD7BtbSNb1zSyaXUd61buJivHzoxDyph5eAXlU/Pi+uxdCCHEyCXqiLoaeAs4Smv9tlLqD0Cb1vrnfdotAZYATJo06ZBt20b1NDWRROGQxfa1jax/ew9bP2ogHLQorszhoEWVzDysArtTrigXQoiBJPvUdwXwltZ6SnT6GOCnWutTB1tHTn2nv4AvxIZVe/ho+U4aazw4sm3MOXo/FnxhEq48uYJ8XxFqbqbl8cfxr/0EIzsb99FHkXfSSShbWt79KcSYSWpQRwtYAXxba71eKXUD4NZaXzNYewnqzKG1ZvemVj56tYZNq+swbAZzj6lk4eJJuAucyS5PjKH2l19m109+itXejn3yJKx2D+GmJpwz9me/3/+erJkzk12iECkjFYJ6AZHbsxzAZuBbWuvmwdpLUGemlj1eVv97K+vf3oNhKOYdX0X1F6fgyJajq0zT9tzz7Lz6arJmz2a/m36Nc8YMtGXR/tJL1N54I9rfyaTbl5K9YEGySxUiJSQ9qEdKgjqztdb7ePf/trD+rVqyc+0cdvo0Zh+9n9yKlyE6N29my1lfJuvAA5l0150YLlev5cFdu9h20bcINzYy5eGHcM6YkaRKhUgdEtQiJdVta+P1xzawe2MrZZNz+fyFB1JSlZPsssRe0MEgW887n2BNDVOffgp7WdmA7YK1tWw55xyMbBdTH30Es6BgnCsVIrWMNqjlRlgxpsom53HWDw9m8SVzaG/y89iv3+WtJzcRCoaTXZoYpeaHH8H/8cdU3HDDoCENYK+ooOrWWwnu3k3tjb8cxwqFyCwS1GLMKaWYcWg55//iCGYeVs7qf2/jsZtW0bjTk+zSxAiFPR4a/vIXXEccQe5Ji4dt71q4kNLvfZe2Zcto+/dz41ChEJlHglqMm6wcOydcNJvTLp+Prz3AYzev4uPXdpKsj1/EyDXd83fCzc2U/fAHcT/kpvjSS8maM4fa//f/CDUPen2pEGIQEtRi3E2eW8y5Pz+cyhkFLH9wPc/d/jEBfyjZZYlhWD4fzfffT87xx5N90EFxr6dsNibc9GvCbW3U33rrGFYoRGaSoBZJ4cpzcNrl8znyy9PZ/H49T/xuNa31vmSXJYbQ+tTThFtaKP7WRSNeN2vmTArPO4+WRx7Fv3594osTIoNJUIukUYbi4MWTOf2KBXiaO3ns5nfZ8WlTsssSA9Ba0/T3v5M1Zw7Z1SO+aBWA0isux8zLY8+vb5KPO4QYAQlqkXQTZxdxzrXVuPOdPHvrh6x/a3eySxJ9+N57j8CWLRR+/euj/gIWMz+f0quuxPv227S/+GKCKxQic0lQi5SQX+riK9ccwoQZBbx4zzree36bHHWlkJYnnkC5XOTFcaX3UArOOQfH9OnU/+8f0GG5RU+IeEhQi5ThyLZx+uXz2b+6jDef2MTKxzZKWKcAy+ul/V//Ju/kkzHc7r3qS9lslF55JYFNm2h95pkEVShEZpOgFinFtBssvngO846v4sOXd/DaQ5+hLQnrZGp7/nksr5eCs76UkP5yF3+BrDlzaPjjn9CBQEL6FCKTSVCLlKMMxdHnzODgkybx8Ws7efWh9RLWSdT61FPYJ04c9UVkfSmlKP3+9wnu3Enz448npE8hMpkEtUhJSimO+NJ0Djl5Mp+s2MWrD3wqYZ0EoeZmvO+8S94pp4z6IrKBuI8+Cld1NQ233Yblk9vyhBiKBLVIWUopDj9zGtWnTOGTlbtZ+bh8Zj3ePC+9BOEwuYu/kNB+lVKUXv19wvUNNN1/f0L7FiLTSFCLlKaU4rDTp3Z/Zr3639uSXdI+pe3557FXVpI1e3bC+3YdcgjuY4+h8Y47Cbe3J7x/ITKFBLVIeUopjj57BjMPL+ftpzbz8Ws7k13SPiHc1kbHm2+Ru3hxQk97xyq96iqs1laa7vn7mPQvRCaQoBZpQRmK479xIJMPKmb5Q+vZuLou2SVlPM+rr0IwuNf3Tg8le84cchcvpumee+QLO4QYhAS1SBumaXDSpXOpmJrPi/d8Qu2W1mSXlNHann8eW3k5WfPmjel2Sq+4HMvrpfGOO8Z0O0KkKwlqkVbsDpNTvncQ7nwHy277iPYmf7JLykiWz0fHitfJPfFElDG2/0w4Z8wg7/TTaH7gQYJ1cqZEiL4kqEXayc5xcOpl8wkHLf7vz2vkKzLHQMfbb6M7O8k5/vPjsr3Syy9Hh0I0/m3puGxPiHQiQS3SUtEENyddOoem3R28cOdaLLnHOqE6XnsNlZ2N69BDx2V7jkmTKPjyl2l+9FGCO+ViQSFiSVCLtDVpdjHHfm0GWz9q5J2nNye7nIyhtcaz/DXcRx6J4XCM23ZLvvsdFFB/223jtk0h0oEEtUhrc4+rYvbR+7H639vY/EF9ssvJCIFNmwju3EnOcceN63btEyZQcN65tP7zSQJbt47rtoVIZRLUIu0d87UZlE3O5aV7PqFljzfZ5aQ9z/LXAMg59phx33bJkiUoh4P6P/5p3LctRKqSoBZpz2Y3OWnJXAzT4F9/+4hgp3zP8d7wLF+Oc9Ys7BMmjPu2bSUlFF14IW3LluFfv37cty9EKpKgFhkhrzibxZdELi575f5P5ZngoxRub8f73nvkHHts0moovuRijLw86n7zW/k9CoEEtcggE2cXcfgZ09jw7h7WymNGR6Vj5RsQCpFzXPKC2szPp/Sy79Hxxht4li9PWh1CpAoJapFRDjlpMpPmFPH6YxtpqPEku5y043ntNYy8PLIXLEhqHYXnnYdj6tTIUXUwmNRahEg2CWqRUZShOOGbs3G6bDx/x8fyefUIaMvCs+I1co4+CmWzJbUWZbdT9uNrCGzZQvNDDye1FiGSLaFBrZQylVLvK6WeTWS/QoyEK8/Bid+aTfMeLyse/SzZ5aQN/7p1hOsbcCfx8+lYOYsW4f7ckdT/+c+EmpqSXY4QSZPoI+qrgHUJ7lOIEZt4YBGHnDSZdSt3s+HdPckuJy10rFgBQM7RRye5kgilFOU/+xmW10vdb36T7HKESJqEBbVSqgo4FZCvwBEp4dDTp1IxLY9XHviU1npfsstJeZ4Vr5M1Zw62kpJkl9LNuf/+FF9yMa1PPU3Hm28muxwhkiKRR9T/C/wYsBLYpxCjZpoGX7h4DoaheP7OtVhh+dMcTLitDd8HH+A+JjWOpmOVfOc72CdPYvcNN2B1dia7HCHGXUKCWil1GlCntV49TLslSqlVSqlV9fXyuEcx9vJKsjnu/FnUbW1j1b+2JbuclNXxxpsQDif1/unBGFlZTLjhBoLbttMgzwEX+6BEHVEfBZyhlNoKPAwcr5S6v28jrfVSrXW11rq6tLQ0QZsWYmgzqsuZeXg5q5ZtpXZLa7LLSUmeFdHbsubNS3YpA3IfeST5X/oSjbffge/DD5NdjhDjKiFBrbW+VmtdpbWeApwLvKy1viARfQuRCMeeOwt3gYMX7/5EbtnqQ2tNx4rXcX/uc0m/LWso5df9DHt5OTt//GOsjo5klyPEuJH7qMU+wZlt48SLZtNa72PlPzYmu5yU0vnZZ4Tq6shJwc+nY5m5uUy4+SaC23ew5ze/TXY5QoybhAe11vpVrfVpie5XiL1VObOQBSdOYu1rO9n6UUOyy0kZXbdluY8e/2/LGin3YYdRfMnFtDz6KK3PPJPscoQYF3JELfYpR5wxjeLKHF6+71N87YFkl5MSPK+tiHxbVnlZskuJS+lVV5FdfQi7r/8F/vXyQBuR+SSoxT7FtBt84eLZdHqD8i1bQNjjiX5bVuofTXdRdjuVt9yCkeOm5sorCLfKBYIis0lQi31OcWUOR35pOls+bGDdG7uTXU5Sed96C0KhtDjtHcteVkbV//4vwV27qbn8CqyAnB0RmUuCWuyT5h8/kcpZhbz+6AZa673JLidpPK+twHC7cS1M7rdljYbrkEPY79e/xvvuu+z+6bVoSx5oIzKTBLXYJ0W+ZetADFPx4t3r9smnlmmt8by+AteRR6AcjmSXMyr5p59G6Q9/QNuyZez5r1/t8x9liMwkQS32WblFWRx73kxqN7fy3nP73lPLAhs3Etq1m5xjUu9pZCNR/O1vU3TxxTQ/+CB7fvlfEtYi46Tu0w2EGAczD61g65pG3n12KxNnF1M+JS/ZJY2b9pdfASBn0XFJrmTvKKUou+ZHADTddRc6FKLi+p+n9MNbhBgJ+UsW+7xjz53J7o0tvHj3J3z1Z4did5rJLmlceF55hay5c7GXlyekP28gRLM3SLs/SJsvRLs/SLs/RDD6sYIGDKXIcZrkOO3kZNkodjsoy3PitO3dPu8Ka2Wz0bh0KaG6Oipv+T2Gy5WAn0yI5JKgHi9aQzgAIT+EosPu6c7IK9zZM949PUD7cBCsUPQV7j3Ufab7tkEDCpQBSkVqU9FpVM+4MsB0gM0JpjMytGXFDB1gd4EzD7LyISsvOp4HzvzIPDM9/ryy3HZOuGg2T/3v+7zxj40cd/6sZJc05kINDfg+/JCSKy6Pq32LN8DWRi/bm7zUtvqoa+ukrr2TPW1+6tsj457O0KjrKXY7qMjPYmKhi6mlbqaVuJlWmsP0UjcFrvg+P1dKUfaDq7HvN4HaG3/J1gsuoOrWW3FUVY26LiFSQXr8S5oIlhUNva5g9PefDvZd3gkhX5/pmHYDBusg0+EEfT2fYY8EqGEDw4wOu15Gn2kTlNl7uovWPcGtdXRo9Yx3hXvsG4munz/en8VVDDnlkFPWe1gwCQqnQMFkyC5IzH7ZS1WzIk8t++CF7Uw+qJgpB6XOdzKPBc/y5aA1uccf329Zmz/IGxsbeG97Cx9sb+HT2jba/L1DOMtuUJ6XRVmukwMn5HHcLCdluVkUuuzkZdvJzbKRmxUZOsyeS2EsrenoDOPpjBxxN3oC1Lb52d3qp7bVx2d17by4bg8hq+dz5iK3g2klbqaX5jCtNDKcXpbDxMJsbGb/y2wKzz0X+4QJ7Lzmx2z58lfY76Zfk3vCCQnce0KML5WsCy+qF87Xq158YvDQDHVCcICQHG24hvfyPktlgj275wjTnhVzpOnsc+QZPeo0HT1Hn72mB2rfNZ01eJ+mMxLGydZ1diDQAZ1t4G8Ff1vvcV8zdNSBpw48e6KvusjvIlZWARROhsKpUDYbyg6MDIum9n5jMQ7CQYvHbl6Ft62Tc39+OK689LwSOh47Lrsc/7pP2P+ll1BKEQpbPP/JHh5fXcPrGxoIhC0cpsGcyjzm7JfHlGI3k4vdTC52UZGfRa7Thuo6I5NgobDFjmYfm+s9bGnoYFO9h031HWyu76DB0/Mm0W4qJhe7mV7adfQdOQKfVpJDXraN4M6d7Lzq+/jXriX/rLMo/+lPMPPzx6RmIeKhlFqtta4e8XpJC+r9TL1qSc7IVjLskSCzZ/U5DesEW3b/07Ojbhf76grdfefkw5jRGvwt0LIdmrdB81Zo2RYZb9wYmSb692jLgpKZsN8CqDoUKquhdNaYh3fjTg+P3bSKibOLOOW7B41ZGCWT5ffz2RFHUvCVr1B63XX8Y3UNf3hpAztbfFQWZPPFuRWcNLeCeVX5e/3ZcaK1eoNsavCwqc7D5oYONtV52FTvYVujt9dRuMthMiE/i4k5Nk5e/SwHvf4M4dwC2r99BVlfWExRjpMil4PcLBuGkXm/4/GmtcbSELY0ltaELU3I0liWJqx7hqFwz/LIEEKWhWVBOGZ+bLuu9WP7i10/bFmRYbSdFa1Fd7eLnMnpqjF2eVcfXeM9bbvaRedZgy3v6btrW4Ntx7Lg4f84Ms2CevZUveqhm3uHpn2AEI0NzHE+whLjLOCFhvVQtw72rI28dr0fCXcARy5ULoQpx8DU46DyYDDtCS/jgxe3s/LxjXz+ggOYffR+Ce8/2dpfeYWa736P8G/+wDVbs1m3u435Ewv43qLpnHhgOWYaBlcwbLGjycum+g62NnSwq9XH7hY/u1t97Gr1k7djE1e//yjTW3exrnAyd845lbUl0zANRaHLTm6WHZfDxO2w4XJGhw4Tt9OG02ZgNw1spooMDYXNNLDHTI90n2lNrwCzrK5QoncY9Qm6sEVPgFl9Q6/Pcq0Jh/uu33/dsO4Ju9jthQbZRu8A7gnYdGOoyMWNhlKRTw2j46p7PtHpyLhpDLY8th8V0y/d63Ytf+y7n0uzoK6u1qtWrUrKtkUa0RoaN8HOVVDzLux4B2o/AjQ4cmDyUTBtEcw8CYqnJ2aTlubpWz+gdksbX7vuUArKMuvK4Zof/4SmF17iqyddT36ei/88dTanzZuQkWcPugRCFrVNHlqfX/nAPAAAIABJREFUfBJ1z+2YTQ20HLiA9cedyfqJs/EEwvgCITo6w3gDIToCYbydITydITpDVndoJZNpKMxoqJjRUOiZFxmaRs9yM7rciBkfuL3C1t2uJ5BsxlDt1CDtiLPdQP3Ru9aYdmafn6GrXWyfsT93bEBGpmPCNBqgyZB+p74lqMVoeZtg6wrYvBy2LI+cNgcoPQAOOBVmnQr7Ldyrz/M9zX4e/uU7FJS7+PKPDsYY4KKldOT1+PjsqKNYXj6XzRdfzY1nzCXflfizEqnM8vlofuABmv5+L6H6epwzZlBwztnknXYatqKiwdeLHk0GwxahsCZoRYdhCyvOf0ctbRGygoSsEGEdQhPCIjJuEcLSIcI6iFI6clOGAgMNKnIKtet/lrYi1392/U/rSDhhRNZRBgYGSikUCkP1GR9o3iDjXf0Yyui3buxyU5kDzu9aJ5PfCMZLglrsu5q3wfp/wafPwrY3/j97dx4nR1knfvzzVPU1PfdMZjKZ3PedEBIgIdyCICiHiILuiqiwu8pv5dh1d1U8FthV2RXPVRFFUC7liIAoIAKRAIEkBHLfxyQzmfvs6bPq+f1RPT3dMz2TSdKTnuP7flHUU89VT3em+1tVXYdziVr+OFhwNSz6OFQs6r4U7RjsWlfLi/dv4bQPT+X0D08dhIGfXE2BCPd84xd8+rkfs/P2u7jixquzPaSs0pEIrX98nubf/pbQli3gcpF39tnkX3QReeeeg6u0tM+2oViImkANjcFGmsPNNAWbaAo30RxqpiXUQke0g0A0QDAWJBANEIgG6Ix1EowFT+IrHFpSAjxGalDvmkgf6JM3EJL76LWB0KPfdG260qYy049lAOtNHvOxrPemxTdJoBaCzibY9RJs/QPsehHsqLOnvfAaJ2gXTTqm7l56YAu73qnjytuWUDljaFxKdjyqmjq5/oG3ueaFX3B2027mv/k6yj269qT7E961i9Y//IHW5/5I7MgRUArvgvmEF8+ienoB2ys1+2iguqOa6o5qGkONafvJ9+RT7C0mz5NHrjsXv8uP3+0n151LrisXv9uPx/TgNtzOZLq70/HJZbhS9mqTgxLQa6+3a961Z21rO7HX3bUX3iudVNfG2Tu3sXuVJbdNXk7kxduky0vuP5FO06elrbT9pmuTqfVa2uqz30yuV5MaXzd/ZrMEaiFSdDbB1lXw/u/g4JuAghkfgGWfhZkXD+hM/kgwxu/+6x1iUZtPfO00cvKG3yVb22rauP5Xb2MFg/zmj9+g+MOXMe7OO7M9rCElakfZ2bSTjXXvUvXu3/C+tZlpW5uZVqNxxZ/XUlfmpmV8AeEp4zCmTyFv1hwKJ8+kpGAsJb4SinxFuA3Z+BHdkjeObG3jdXklUAvRp+b9sPFR2PAQtFdDfiUsvR5O/TQU9H9md/3Bdp747jomzinhsi8sQg2js6Lf3NPITQ+tI9fr4tczO9F3fJmJv7yfvJUrsz20rNJas691H68ffp011WvYULuBkOVc41+eU87CsoXMLJ7JTN8kplZbFOyoJrJ5K+Fdu4hWVcVvDORwlZXhHj8e9/jxuMrKMEtLcJWUYJbE54WFGLm5GLm5qJwc+a22D9q2nRtT2XYire34jZgsy3nYSo9ybGfvFcty8hLpeDvbRlt2d9p2bubktHfqpJTH04nydHVtO6Vdd92u5fhNpOI3kEpeLvunf5JALcRRWTHY9QKs+xXsftm55G/+VbDiZuea7T5sevUQqx/byYqPTufUD04+iQM+fn98v4ZbH9/I5FI/D372dOxvfoXOtWuZ+bfVo/KBFVprtjZt5YV9L/DigRc53HEYgKmFU1kxbgVLypewuGwxFbkV/QZTu7OT8J49hPfsIVpdTfTwYaKHnXmsoQEd7Od3aKUw/H5nys1Feb0olwvldjtzjxtcLpTbk8gnvmGous4ui/eTmCfS3etwAlZS4EgOLraN1t3BRdtWd7orv2dg7AqAukdQ6tlfUrvkflOCb1e/PdYxGszbsf24AvXo+7SK0c10OWeGz7kMmvbBO/fD+gdh0++d67NX3AwzP9jrjPEF547n8M5m3lq1l8oZRVRMG9p3uPr1mn1867mtLJ1UzP3XLyMvHGD3yy9TdN21oy5I13fW8+SuJ3l2z7McbD+IS7lYUbmCzy/8PCsrVzIub9wx9Wf4/eQsXEjOwoVpy+3OTmJNzVjNTcQaG7FbW7E7O7EDgcTcCgSwAwF0JIqORSEaRUdj2J1BdCyGjkYTc2dvTHfvxcfn2jntOyUvUc+5MBhlmGDEf982DCcdn6fkmwZKGd3tlOFsKBjxe//37M+IbzSYZlJ/TjtMMykdX5/quW4VTyfVNQyUmVQ3ke5RN95fSl1DpZanq9uV7lU3aVzp6pomqDR1Ded5Cco0E98XKf0oEnUwDGc7yus9pr+1LrJHLUSo1Tkk/tbPoO2Qc0e0lbc4J58l3VAlHIzxu7vfxrY0n/ja6fhyh97vkVpr7nlhB//36h4umjeWH123BJ/bpOk3v6X27ruZuuppfHPmZHuYg05rzbradTy2/TH+evCvxHSMMyrO4NJpl/KBSR+g0Du0N7TEyCSXZwlxoqyoc7b4mh/Akfedh4acfTssvs65XztQd6CNJ7+7nglzirnsi4uH1O0no5bNfzy1iSfWH+K60ydx5xXzEw+t2HvVR1FKMfWpJ7M8ysGltWb1odXc9/59vN/wPgWeAq6ccSUfn/1xJhcMj58sxMh1vIF6dB0DE6I/phsWfsy5/nrnC/Dad+DZf4bV98BZt8CSv6d8cgHnXDuLVx/ewdpn9rLiyszcDe1EBcIxbn5kA6/sqOeWC2fypQ/MTPzOGtq2jfC2bYy942tZHuXg0VrzatWr/PS9n7KtaRvj88Zzx/I7uHz65fhcvmwPT4gTIoFaiJ6UgtmXOLcl3f2yE7D/eDus/l84+zbmr7ieuoPtbPjzAcom5jNjaXlWh1vXFuKzD77D1uo2/uuqhXzyjNRrxZsfeQTl9VJ42WVZGuHg2ta4jXvW3cM7R95hcsFk7lx5J5dNu0wulRIjhgRqIfqiFMy80Ln2et9r8Oq34fl/gTd+xDnnfJXGQ9N4+aFtFFf4KR1/jE+Cy5Cdte3c8MA7NHdGuP/6ZVwwZ2xKeay5mdZnnqXw8ssxi4bvDVvSaQg28P313+eZPc9Q5C3iq2d8latnXS0BWow4I+MGxkIMJqWcB3/c8Cf41JPgK8B85iY+5PsqHjPG8z/bRCgQPenDWrO7gat/+gYRy+bxm1b0CtIALb/7PTocpvjv/+6kj2+waK1ZtXsVV6y6guf3Pc9n5n+G5z76HNfOuVaCtBiRJFALMVBde9g3rYaP/Ypc1cAlvv+go6GDP//wdazYybkWVGvNfav38Pe/XEtFgY+nv3AmCyf0PotZR6M0P/IIuWeuwDdr1kkZ22Craqvixpdu5I41dzCjaAZPXP4Ety27jQJPQbaHJsSgkUAtxLEyDOeEsy+uZdzVX+D88t9y+IDm1Tt/jq7fOairDoRj3Pzou/zX89u5eH4FT39xJROK0z+Gs/XZ54jV1lL86U8P6phOBq01T+58kqufvZrNDZu5Y/kdPHDJA0wrnJbtoQkx6DJyeZZSaiLwEFAB2MB9Wusf9NdGLs8SI0Y0yNv3Pc07myo4I/9Rlp1fDOf9O/j7fmTi8dhZ287Nj2xgd10HX75kDv9wzrQ+76ClYzH2XHoZZl4eU558YljftrIl1MK33vwWfzn4F86oOIO7zrqLityKbA9LiGN2vJdnZWqPOgbcrrWeCywHvqiUmpehvoUY2tw5nPaF65i9tIi17dexY/V2+OESePP/IBY54e611vx6zT4+8qPXaeyI8NBnz+Afz53eb/BtfeZZogcPMubmm4d1kF5bs5arn7maVw+9yu1Lb+e+D94nQVqMOhk561trXQPUxNPtSqltwHhgayb6F2KoU0px/g2n0NG+kb/uuYWccauY9MJ/OLcoveS/nUu9jkNdW4h/eeJ9Vu+s5/zZZXz3Y4spy+//NoR2JELDT3+Kb9488s4/77jWm21aa3695dd8f8P3mVwwmR9/4MfMLZ2b7WEJkRUZ/41aKTUFWAKsTVN2k1JqnVJqXX19faZXLURWmS6DD/3jQkoq8/jT7o9Sc+7vnXsKP/JxeOxT0FI14L601vx+XRUX3buatXsbufOK+fzqM6cdNUgDND34INGqKspuu21Y7k0HY0H+7W//xvfWf48LJ13IY5c9JkFajGoZvYWoUioPeA24W2v9VH915TdqMVJ1tkV4+n830NkW4covLaDs0IPw2nedwnO/DMu/mLglaToHGgN85elNrNndyLLJxXz76kXMKB/YddrR2jr2fuhD+JcvZ+L//SQTL+ekqu6o5pZXbmF703b++dR/5nMLPjcsNzaESCfbv1GjlHIDTwIPHy1ICzGS+Qs8XP6lU/D4TJ79yRaaZ9wEX1wL0y+Av3wTfnYWHHizV7twzOKnr+7h4u+v5v2qVu66cgG/+4cVAw7SAHX33IOORhn77/+WwVd0crxz5B2ufe5aqtqr+PEHfsznF35egrQQZChQK+fT9Etgm9b6e5noU4jhLL/ExxW3LAFg1b3v0hQshWsfhuseh1gQHvgQ/Pk/INKJ1pqXt9Vy8b2r+c6ft3POzDJeuu1c/m755GN66EfbSy/R9txzlN50E55Jk47eYIjQWvPItke48cUbKfIV8chlj3DOhHOyPSwhhoxMXZ51FvA3YBPO5VkAX9FaP99XGzn0LUaDxuoO/vD9jaA1V9yyxLnVaLgD/vINeOd+IoVT+K73S9x/cCzTy3L5+kfmc+6ssmNeT6yxkb0fuRx3RQVTHn8M5R4ed+iKWBHueusunt79NOdNOI//Pvu/yfNk53asQgw2ecylEENU85EAf7j3XayY5vIvnULZpHxaOiM8s+pxzt/xLcbTwObJn2bu330Xt+fYn/SkLYuqG2+ic906pj75BN6ZMwfhVWReXWcdt75yK+83vM8/LPoHvnDKFzCU3INJjFzymEshhqjiilyuvP1U/nDvu6y6912iZ5bysy2HaA+XsHvJb/kP98Mseu9BeHAzXP1LKJl6TP3X33svgTfeoOLO/xw2QXpj3UZuffVWAtEA9553LxdOvjDbQxJiyJLNVyFOgrxSH+aFFTREo0RePsIHCvJ5/p/P5j8/vpycq34EH38IGnbDz8+BzQM/F7PlqadpvP+XFF37CYqvuWYQX0HmPLXrKT77wmfxmT4evvRhCdJCHIXsUQsxiLTWvLDlCN99YQd76wOcPquQS5tdeHZ1Yu1qh3Hxh0nMuwLGnQJPfh6euAEOrYOL/hPMvj+ibS++SM3XvkbumWdS8ZWvnKRXdPyidpTvvP0dHt/xOCvGreCec++h0Nv7YSJCiFQSqIUYBFprXtpayw//uovNh9uYUZ7Hz/9+KR+cN5ZYxOaF+zfz2iM7aG8KsfzyaShDQfFkuOF5ePEOeOsnULsJPvZryC3t1X/bn1+g+l//lZxFi5jw4x+hPH1flz0UNAYbuf2121lfu57r513PLUtvwWXI148QAyEnkwmRQbateXHrEX7w8m621bQxudTPzefP4Kol43GZ3b802ZbNa4/uZOvr1UxdPIYLb5iHx5cUuN59GJ67FfLHwrWPQMXCRFHTww9Te9fd5CxZwsSf/h9m4dDeK93SuIVbXrmF5lAz3zzzm3x42oezPSQhskLO+hYiiyzbOcT9w5d3sf1IO1PH5HLz+TO44pTKlACdTGvNplcP8frvd1Nc4efSf1pEYVlOd4VD6+Hxv4NwG1zzIPbkc6j7zndpfvhh8i64gPHf+18M37GfJX4yrdq9ijvfvJPSnFLuPf9e5pfOz/aQhMgaCdRCZEEwYvHEhkP88m972d/YybSyXP7fBTP4yKK+A3RPVduaeOEXm0HBxTcuYOKcpMdjttXAI9cQ2bOdw1sWEdpbQ8n111P+r/+Ccg3dQ8dRK8p33nF+jz5j3Bl895zvUuLL7GM/hRhuJFALcRLVt4f5zZv7+c1bB2jujLJ4QiGfP3saly4ch3kMdxPr0lLXyfM/3UTLkQCnf2QqSy+ZgjIUOhaj6Vf3U/+jH6KwGPeZcyi47T4YwrfWrOus47ZXb+O9+ve4YcEN/POSf5bfo4VArqMWYtBprXm3qoVH1h7kmfeqiVo2F84dy41nT+O0KcUndF/qonI/H/u3pbz2yA7WPrOP6l0trFwSoe373yW0dSt5555LxUob997H4SkNV/wEXEd/ktbJtvrQar72+tcIWSH+59z/4eIpx/d4TyFENwnUQhxFeyjKqo3VPLL2INtq2sj1mHx82QQ+u3Iq08oyd7tLj8/FhTfMoyw/xJt/aeCpje0s6vQz9/v3kn/xxSiA12fDy/8JbdXwid+Cf2gcTo5YEe5dfy+/3fZbZhXP4p5z7mFa0bRsD0uIEUECtRBpxCybN/c2surdav60uYbOiMX8ygLuvmoBV5wynjxvZj86WmsCr6+h6YEH8L7xBqeNncXWU/6J9b4bIDqFZbbGNA04+3YonAR/+AL86mL41O+heEpGx3KsdjXv4quvf5VtTdv41NxPcevSW/GaQ29vX4jhSgK1EHFaa9471Mqqdw/z3Ps1NHSEyfe6+MiiSq47YxKLJxRm/LGLsaYm2p59lpYnniC8azeusjLKbr2VWdd+gkXeXFY/tpN1f9zPwc2NXHjDPIorcmHRNVBQCY99Eu6/0Hki14SlGR3XQEStKL/Y9At+sekX5Lvz+dEFP+K8ieed9HEIMdLJyWRiVAvHLN7a28Rfttby8rZaqltDeEyDC+aUc+WSSs6bXY7PbWZ0nXYwSMfrr9P2zLO0v/oqRKP4Fi6k+JOfpOCySzF63Lxk9/o6Xn1kO1bE5syrZ7Dg3PHOBkP9Tnj4Y9BRB1ffD3NP3vXJG2o3cOdbd7K7ZTeXTr2Ufz/93yn2FZ+09QsxHMlZ30IMgNaa/Y2dvLmnkb/tqmf1znoCEYsct8nZM8dw0byxfHB+BYU5mX1MpNXeTserr9H+0kt0/O1v6GAQs6SEwssvp/CjV+GbNavf9oHWMH99aBsHtzQxaX4J531qDvklPuioh0c/AYc3wMX/Bcv/aVDPCD/ccZh719/LC/tfYKx/LHcsv4NzJ547aOsTYiSRQC1EGrat2dsQYMPBZt7a08gbexo50hYCoKLAxwVzy7lo7lhWTC/N6J6ztixCmzcTeOMNOtasIbjxPYjFcJWVkX/RheR/8IP4ly07pmuhtdZsfu0wbzy1G6UUK66azoJzxqNiQXjqRtj+HCy8Bj78ffBm9pnOdZ11/HrLr3l8++MYyuCzCz7L9fOvx+/2Z3Q9QoxkEqjFqGfbmsMtQbbWtPFeVQvvHWrh/apW2sMxAEpzPSyfXsqZ00tZMa2UqWNyM/abs45GCW3fQfDdd+l85x0Ca9dit7WBUvjmziV35ZnknX8BOacsRhkn9tC6toYgrz2yg4Nbm6iYVsB5fzeH0go/vP6/8Mp/QelM+PiDUD73hF9XVVsVD259kKd2PYWtbS6bdhn/b8n/oyK34oT7FmK0kUAtRo2oZVPdEmRfQ4BdtR3srG1nZ10Hu2vbCUQsAFyGYu64AhZPLGTxhCJOmVjEjPK8jARmrTWx+npCW7YQ3PgewXffJbhpEzoYdNZdOY7cFSvIW7kS/4oVuIoz/9ut1pqdb9fy+u92EQnFWHLRJE69ZDKe6jXw5Ocg1Arn/Tuc+aV+n8CVTtSO8srBV3hi5xO8WfMmLsPFVTOu4oYFNzAxf2LGX4sQo4UEajEiaK1pDUapbw9T1x6mti3EoeYgVU2dVDV3UtUUpKY1iJ30Zzsmz8ussXnMGpvPrLH5zBmXz7xxBRk5lK1jMSIHDxLato3w9u2Etm4jtH07VmOjU8Hlwjd3LjlLTsG/ZAk5p5yCe9y4E17vQAXbI6x5cjc73jqCv9DDiiunM3u+ifrzv8LWVc7DPC7+L5h6Tr/9RKwIb9W8xUsHXuKVqldoDbdSkVvB1TOv5qMzP0q5v/wkvSIhRi4J1GLI0VrTGbFoCUZp7YzSEozQ2hmlNRh18oJRWjqjNHaEqe8IU9fmzCMxu1df5fleJpb4mVicw6QSPxNK/Ewu8TNzbD4luSf2iEetNXZrK5H9+wnv3Udk3z4i+/cR3rePyIGDEI06Fd1uvDNm4JszB9/cufjmzsG3YAFGTk7/KzgJjuxt5W+/20Xd/jbKJ+ez8mMzqYy+Bi98FVqrYObFcPZtMPEMUIqoHWVH0w7ePvI2b9e8zYa6DQRjQfLceZw38Tw+NPVDrKxciWlk9ox3IUYzCdSiX1prYrYmErOJxGzC8XnEsrrTMZuIlZruWRaKWgQjFoFIjM6IRWfYojNq0RmOEYhYBCNdc4vOSCxlz7cnt6kozHFTkuuhPN9HWb6X8nwvZfGpPN9HeYGX8UU5J7R3bAeDxBobidXVE62pJlrtTLHqmkTaDgS6G7hceCZNwjN1Kt6pU/BMm45v7hy806cP6ec+a1uz8+0jvPn0HgKtESbMKWbZJZW4jtxP1YZfsleH2VZcyba8QnaFm4nYEQCmF07n9HGnc9b4s1g+bjkec+i+RiGGs2F3r2+Ncw2r1mBrjWVrbB3fu4nn2XZSWmu0Jl4vtW5Xnk6q21XHTurXSupba41tg9WVTrTtapNa17KT2iWNWSe36zHm3ut0+rbibWO2xrKcuR0PpJZtE7O6y22tk5bt7nZJU8xOLU/N666XKV6XQa7Xhd9jxicnXeT3kOtNzcvzuijyuynMcVOY46Ewx51Y9nvMY/rNWGuNDoexWtuw29uw2tqx2lqx29ux2tqwWlqwGhuJNTQ6gbmhHquhMTUIxxmFhbgrK3FPnIj/jDNwV1bimTIFz9QpeCZMQLkze3nWYIraUWo6aqhqr6KqqIq6Kw/RsdFNeNt0Dn2/mUOFJbw3bilVRTvIJ8S8phY+GYkxv3Aqyyaez5iZF8PY+eDJzfZLEUKkkbU9au+4mXrc9d/PyrpPFqXAUAojMe9Ou0yFaRi4DIUZn1LSpsJUXflGd56RlN+zD6Uwze5+nLlTbhgKt6HwuIzuyXTm3sSy2U+ZM/e5zcTTobTWEI2i45MdiRx1WUej6EgEHQxiB0PYwSB2sBOdku5R1hnEam/HbmtDdx2G7oNRWIhrzBhcpaW4xpRijhmDq3QMrjGluMaMwV1ZiWtcJWbe8AlKWmsaQ40c7jhMdUd1Yn6o/RBV7VXUBGqwtJWo7zN9TMifwKScKUw5dArezePRnQa5ZW5OPX8ysyY34NvzFOx5FWo3xVsp51ak5XOhcCIUjIP8SsgrB28BePOdS768+eDOhRM8c12I0WjYHfqeNHuh/refPd0jkIGBxgBMbBRgKjC0TuQbaEylUTqpDjpeB5Ry0gowtcbARqEwtI2Bk2/QVUejtMZUoLTG0M5vo4a2MeJ5StsYGhSgsOP1utuqrr60hnieoTVoZ2zatnF26W0n7eyCJy0Dth1f1k55V1m8HlonlrUVA8tG25YztyywrDTLtjO3LLAttNX3cqKtbUEs3bLd3WdS4D1a0BwwpVA5ORg5ORg+H4Y/B5Xjd9I5OSh/DmZ+AWZhAUZ+AWZBPmZBd9ooKMAsKMDMzx/Sh6b7YmubplAT1R3VTgDuOJRIH+44TE2ghrAVTmlT7C2mMq+SSfmTmJA/gYn5E5lUMImJ+RMpyylLOVJhxWx2r6/j/VcOUbe/DcOlmLJwDLNPr2DSVHDVrIW6rfFpO7Qegkh7/4NWJphuMD1guHqnlQnKcAK6Mpxlw+xO91um4std9ZLKktuklBlp+jdxPrnEbwKjEotOWvVI96jbV7pXu57pfqR83+qBlfX6jj6esgGu67jHQT9lGR7HUcfST9kxlx+tbc+u+u9bfejbwytQL/D79RPTZzh7ZbbtTOLoDANM07kW1zRRSWlMA2W6ussMA1xHWzZRRrytYfZaVq74l2hi2YXyeFButzN53Ci3JyntTi3vY9nw+VB+vxOIvd6M30N7KNBa0x5tpynYRF1nHbWdtdR11qVOwToaOhuI6VhK2yJvEZV5lYzPG09lbiXj88cn0pV5lcd9o5G6A23sXFvLznW1BNsimG6DCbOLmTS/lEnzSygsy3H+LcLt0H7EuT1ppMNZ7pqinWBFwYqAHXPmVtSZ7Phc292TbYG2ktJ2j3RymXaWe5X1rDeAMjECJH0v9PqO6LGcUt5f2TGWn0jbHuXqK4eGV6A+ZeJE/eIttzqBx1DOl4OKpw3DeXEpy06eMrryDWcjtqvMUPFyI20/ylDxw3Wqu6znskoaS3xZxfvFMJL67zG2eD+JdaiksXX1o4i/1h79GEbS+nqM1TCcf/LkdiMwoA0HYStMe6Sd9kg7HZEO2qNOuiXUQlO4ieZQszOFm1PSMTvWq688dx7l/nLK/GWM9Y+l3F9Oub88EYQr8yrJdQ/uoXnbsjm8o4X9mxs4sLmR1jrnGvCcfDdjpxZSMa2AsVMKKB2fR07+8DtKASRt/MePVHXt3aRLJ74Hj5ZObkdqHynpAX7R9/d5HnDgGWDZ8QajwR7HKPpOG3aHvuWsb3GibG0TtaPE7BhRK0pMO/NEnh0lYkUIWSGCsSChWIiQFSIU62PZChGMBglEA7RHnYDcEe2gPdJO1O7/MH++J58SXwnF3mKKfEWJdLGvmBJfSSIYj/WPHZK33Wyp7eTQjmZq97ZyZF8bLbWdibKcfDcl43IpqcyjsDyHgjE5FJT6yC/14fHJA/iEGKhhF6jzpuXpxXcvTuwhKnrMkw8X9MhLqauOXqfnXmi6uj3bJeom10kztqPVSddfX69Vdb+Yo9dJ91rTjKPX+5NU91jq9Fe3a71aa2xsbO1MzhnyNjZJ6a5pAHkaJ23ZFlE7NQDH7FjKCVTHy2W4yDFz8LnYb70kAAAgAElEQVR8+Fw+vKaXPHceeZ488t35ztyTT74nP21+V2B2G8PnLPGBCHVEqTvQRlNNgKbqgDOvCRANpb7nvjy3E7RLfPgLveQWefAXeMkt9CSWfbluORIkBMcfqLO2OVzkLeKyaZcB8bOHAZ30w3vPvMQ8acOiZ15fy0frL1EvMeunTl/9JdXpr7++xpFct786fb0fXe0G9P44HR21Ts+NuLTrTMozlIGhDBQKU5lOWqlEnqEMXIaru55SGKSmTcNM1O1qayoTt+HGZbhwG+7utOlOXU6Tdptuclw5+ExfIhh3LXtd3hEXYDPFl+eO/25dmsjTWhNsj9LWGKS9IURbY5C2hhBtDUGaagJUbWsiEuq98WSYCl+uG2+uG1+uC1+uu3vKc+P1u/D63Xh8Jm6vidtn4va6cHtNPD4T021IoBejWsb2qJVSlwA/AEzgfq31t/urL4e+hRh5ohGLztYwgdYIna0RAi1hOtvChDqihDpjzjwQJRyIEgrEsNLcha4npXACuNcJ2qbL6J73SqvutGmgTBU/vcM5h8QwVTyNs2yoNHOnLOWoXtcJ38lH8bqOYCWXQVK58z+Vkpd8FLBHn7Itkl0n4eDypHml2dujVkqZwE+Ai4BDwDtKqWe01lsz0b8QYnhwe0wKy/wUlh39d3itNbGoTagjSiQYIxq2iISceTRkOfMeeVbMdqZofB7TRIKx1Lyok29ZziWPtq3jJ5pn52c+IU5Upg59nw7s1lrvBVBKPQZcAUigFkKkpZTC7TFxl5y8+4l3B+74XIO2utLxfKsrndSu6+eerpPEk38+0gCp5Udr050f//FItiGGhkE+qnHzz4+vXaYC9XigKmn5EHBGhvoWQoiMUPG79gkxnGTqPoDp/vJ7bSMqpW5SSq1TSq2rr6/P0KqFEEKIkStTgfoQkPxE+QlAdc9KWuv7tNbLtNbLysrKMrRqIYQQYuTKVKB+B5iplJqqlPIA1wLPZKhvIYQQYtTK5OVZlwLfx7k861da67uPUr8d2JGRlY9sY4CGbA9imJD3amDkfRo4ea8GRt6ngZmttc4/1kZZuzOZUmrd8VxPNtrI+zRw8l4NjLxPAyfv1cDI+zQwx/s+yUNlhRBCiCFMArUQQggxhGUzUN+XxXUPJ/I+DZy8VwMj79PAyXs1MPI+DcxxvU9Z+41aCCGEEEcnh76FEEKIIUwCtRBCCDGESaAWQgghhjAJ1EIIIcQQJoFaCCGEGMIkUAshhBBDmARqIYQQYgiTQC3EKKGU+qpS6qdJy8VKqahSypfNcQkh+ieBWojRYyGwMWn5FGCH1jqUpfEIIQZAArUQo0e6QP1elsYihBggCdRCjAJKKQ8wHdiUlL2Y1MAthBiCJFALMTrMAw5rrTsBlFIKOA/ZoxZiyJNALcTosBAoV0pNV0rlAHcCk4H9WR2VEOKoJFALMTosBF4A/gTsBmqBvcBXszkoIcTRyWMuhRgFlFJ/Au7XWj+Z7bEIIY6N7FELMTosBLZlexBCiGMne9RCjHBKqWKcQ925WutotscjhDg2EqiFEEKIIUwOfQshhBBDmARqIYQQYghzZWvFY8aM0VOmTMnW6oUQQoiTav369Q1a67JjbZe1QD1lyhTWrVuXrdULIYQQJ5VS6sDxtJND30IIIcQQJoFaCCGEGMKyduhbCCHEyaG1RqN7p+NzNL3ykusNFwqV7SEMCgnUQohRLRQL0RpuJRANEIwF6Yx1OvNoZ8pyMBYkakWJ2klTfDliRVLz7SiWbWFrG1vbWNpCa42lu/NsbWNjY9vxeZq6PQMsOIF0pAVY0T8J1EKIEUVrTVukjbrOusRU21lLXWcdTaEmWsOttIRbaAu30RppJWyFB9SvQuExPbgNtzOZ7l5pj+HBbbrJdeXiMlwYyuhzMpWZmkf6egpF145i1x6jQuE8qTR1LzI5r2d5z34S+WnaJL/mnnlD1VC/eZdGcyM3HldbCdRCiGEpZsfY17qPXc27ONB2gP1t+znYdpAD7Qdoj7T3ql/sLaY0p5QibxGTCyZT6C2k0FNIobeQAm8Bee48/C4/Oa4c/G5nnuPKcfLcOXgMz7AJWmJokkAthBixtNYcaj/Eutp1bG7YzLambexs3pnYG1YoxuWOY3LBZC6deikT8ycy1j+Wcn95YvKYniy/CiGOjwRqIcSQ1BRqYvWh1aytWcs7R96htrMWgHx3PnNK5/CJ2Z9gbulcZhfPZlLBJLymN8sjFmJwSKAWQgwZtYFaXtj/An+t+ivv1r2LrW1KfCWcVnEap409jdMqTmNq4VQ5BC1GFQnUQoisilpRXj30Kk/vepo11Wuwtc3M4pnctOgmLph4AXNK5khgFqOaBGohRFZ0RDp4cteTPLT1Ieo66yj3l/O5BZ/jihlXMLlgcraHJ8SQIYFaCHFSBaIBfr3l1zy89WHao+2cXnE6X1/+dc4afxamYWZ7eEIMORKohRAnRcyO8dSup/jJxp/QFGriwkkX8rmFn2PBmAXZHpoQQ5oEaiHEoNvRtINvvPENtjRu4dTyU/nxBT9mYdnCbA9LiGFBArUQYtBE7Sj3vX8f979/PwXeAu459x4unnyxnBwmxDGQQC2EGBS1gVq+vPrLbKjbwEemfYQvn/ZlinxF2R6WEMOOBGohRMatrVnLl1d/mWAsyLfP/jaXTbss20MSYtiSQC2EyKhVu1fxrTe+xaSCSTxw8QNMK5qW7SEJMaxJoBZCZITWmp+//3N+svEnLB+3nHvPu5c8T162hyXEsGdkewBCiOFPa82P3v0RP9n4Ey6ffjn/94H/kyAtRIbIHrUQ4oR0BelfbPoFV8+8mq+v+DqGkn0AITJFPk1CiBPywJYHJEgLMYjkEyWEOG7P732ee9ffyyVTLpEgLcQgkU+VEOK4rK9dz9fWfI2lY5dy91l3S5AWYpDIJ0sIccxqA7Xc9uptjM8bzw/O/wEe05PtIQkxYsnJZEKIYxK1ovzLa/9CMBbkVxf/ikJvYbaHJMSIJoFaCHFMvrf+e2ys38g959zD9KLp2R6OECNeRgO1Umo/0A5YQExrvSyT/QshsuuN6jf47bbfcu3sa7lk6iXZHo4Qo8Jg7FGfr7VuGIR+hRBZ1Bpu5Y41dzC1cCq3L7s928MRYtSQQ99CiAG5e+3dNAWb+OEFP8Tn8mV7OEKMGpk+61sDLyql1iulbupZqJS6SSm1Tim1rr6+PsOrFkIMltWHVvOnfX/ipsU3Mb90fraHI8SokulAvVJrfSrwIeCLSqlzkgu11vdprZdprZeVlZVleNVCiMHQGe3k7rfuZlrhND6/4PPZHo4Qo05GA7XWujo+rwOeBk7PZP9CiJPvZ+//jOpANV9f8XXcpjvbwxFi1MlYoFZK5Sql8rvSwAeBzZnqXwhx8u1p2cNDWx7iqhlXsXTs0mwPR4hRKZMnk40FnlZKdfX7iNb6zxnsXwhxkv3Puv/B7/Jz69Jbsz0UIUatjAVqrfVeYHGm+hNCZNcb1W/w+uHXuX3p7RT7irM9HCFGLbnXtxCiF8u2+N91/8v4vPFcN/e6bA9HiFFNArUQopdn9jzDzuad3HLqLXhNb7aHI8SoJoFaCJEibIX58bs/ZtGYRVw85eJsD0eIUU8CtRAixRM7n6AuWMeXTv0S8ZNDhRBZJIFaCJEQtsL8ctMvWTp2KadVnJbt4QghkEAthEjyxM4nqA/W84XFX5C9aSGGCAnUQghA9qaFGKokUAshANmbFmKokkAthCBmx3hoy0MsKV8ie9NCDDESqIUQ/OXAX6gOVPOZ+Z+RvWkhhhgJ1EKMclprHtjyAJMLJnPexPOyPRwhRA8SqIUY5dbVrmNr41Y+Pe/TGEq+EoQYauRTKcQo9+CWBynxlXD59MuzPRQhRBqZfMylEGKY2dOyh9cOvcYXTvkCPpcv28NJiEUtQh0xQoEooUCUaChGNGwlplikK20Ti1hYlo0d09iWdtKWxo45cytmY9tOGYC243NnhtYanP8SmVoTz+sqABQo538kfsZXCtVVFs9MKVMk5Sm6DlgMqK5y+u1VP7m8Zx90t0nuozurx3q7+u7qK/V/R2+f/J50r7Z7LCS1VyrtskrO68rv0V/XOlLH2WMdyS8+uX1ydl/nX6iUWcpr7ZHsI693B5k81UMCtRCj2G+2/gav6eXa2deetHWGAlFaajtpbwzR3hSiozlMe1OIQEuYYEeEUCBGLGwdtR/DpXB7TFweE9OlMEwjMTdMhWEqTLeB22c6eYZK+UJPCUI9AmFKQFbKidyJYN4dwLuCPVp3l3VXSspL3gDor65O2oBIKovn2XZ3YaIcUtskBpWSTB1DoqnuUeco7ZO2W3pu1MR7S6rQ4/V2v5ze6xhI+0QdEv8eSS8DnZyR3EeaF5NU3GNhaJJALcQo1Rpu5Y97/8iHp314UJ43rbWmtS7Ikb2t1O5vo7kmQFNNgGB7NKWeJ8dFXrGXvGIvJZW5+HLdzpTXPff4TNze7snlNTFN+eVODA6te0f61OCeJugnV0hp3t3BzT8/vvFIoBZilFq1exUhK8R1czL3vOlAS5gDmxvZv6mB6t0thAMxANw+k9LKXKYsHEPxuFyKK/wUlOaQV+LF45OvITG0pBwiT3dYnAwe1x4A+YQIMQrZ2ubxHY+zpHwJs0tmn1BfoUCUXe/Usv2tI9TtbwMgr8TLtMVlVEwrZOy0AkoqclGGXJ8txPGQQC3ESaJtGx2Ndk+RrnQkkUc0mjjZqdcJMF2/o7rdKF8ORo4P5fNh+P0oj+eYblTyZvWbVLVXcfMpNx/362k+EmDDiwfZ9XYtVsymdHwey6+cxpSFYyipzJUbpwiRIRKoxYikLQsdi6GjMYhF4+koOhzGjkTQ4YgTIMNhdCSCHQ47gTMcTuQn6kUiifyUepEIOtKjXiSSGoyTJqyjnyB13EwTs6QYV+kYXCUlmKWluMrK8EycgHvCRDyTJuKurES53QA8tv0xSnwlXDj5wmNeVVtjkLee3sOu9XW4XAZzzxzHvLMqGTMxT4KzEINAAnU/nLMcNdh2/CzD+GkBScvO2ZfdaWy7+0SEpLYpdbra2V3XgPRoqwFtp+9fa7Rtx+vE2x9tHbp7Pd1tbWd9lg3aRlsW2BpsKykvXsdOKrNtsHrmpZZ1t02X191W25ZTZttOPduOB9goRGNOcE1MPfKsWJo6MWePNBZLPV31RLlcGB6Ps9fq9cbnzrLhcZaNoiIn3+PG8HjA7Xb2fHtNnj7y3SiPG+VygWH2PDU35bReHYthB0PoUBC7M4gdCmF3dGA1NxFrbCLW2EDk4EFidXXoSKT7dRgG7gkT0FMnUBF9i7OWfgC99wB6ypREAO+PFbVZ9+f9vPviQRRw6sWTWXzBRPwFHgA6IzHq28O0BWO0haK0BaO0BqO0h2KEohZRyyZs2URiNtH43Nbdv/ap+NnWKunMbEOBoRSmoeJzMAyFmZLnTErRK7+7Lil1DZXUX6+6yf2mrr+v/OR+nXn691Cl+22zr7oDr5p2Ayld3b6vTsr8BpbOwOnUmfgYZ+KbQGfy++Q4qGwNYGFxsf7D+ed3B5yu4Ec84NhJwUYnBaaugNZ1Gn9KEE1tly6Idp/q3yMApwly4jgpBYaBMgwwze500hzTQCmnXCnlzOP1lcvlBCy3C+VyJ5aVywVJ6e46SfXcyXV65LndGF2BtivAensEYI/XCbaJZQ/KNLP9jh4XbdvE6uuJHjxIpOoQkaqDRPbuo2bTWnJqWjC7/sTdbrxTp+KbOwffvHn45s3DO3ceZl5uoq+m6gB//uVmmg8HyJmRT8vMXA6Ho9S2hTjSFqK2NUR7ONbveJQCj2k4k8vAbRqJgJb4eMcvF+r+uGtsrbFsja3BsjWW1tjxuXxMxXBy4DsfXq+1Xnas7bIWqBeVlek/Xv2xxJd69w0Dupa7rmPsSjuTc0KKSmnn3CxAgepu5+QltTVUd/8915myDpyAQXe77v5T19GzrTISF16madtjbMnrSG6bqEv6dRpJYyXpdaUbW8o6erRVyglAykCZ8eCZCKRmIi8RWA3TGaNpdrdNyusKthiGHP4cwsJWmIt+fxGnlSzm7klfJLxrF+Gduwjv3Elo2zZidXVORaUIV4ynduxkdhQsQRmzCQN/yo2yx21jKBhb4GNsgY+KAh9jC7yMLfRRluelyO+hwOei0O+mwOcm3+cix23G93oz+7ehk4J4V0BPBPJEml55TjvibY/erntjId6uV93U9um+VdN91fb17Xss38vp++2d2VeXfY01E/9UmfjXzsw4TryTTIzjxnOmH1egztqhb8/kyUz82U+ztXohRqUX979Ic7iZjy34JL7KOfjmzCEUtdhwoJm39jayadNewlu3MqnpEDNaDlEQqMAsmktRy04WbPkVF5fk4547h6LFC8lbsADfgnm4ijN/DfZAKaVwmbJhKIaHG4+zXcYCtVLqEuAHgAncr7X+dr8NOptg4yNdrZM76icvKb/PH1uOp/2Jrv94+qR33cEY03G1j++dG0Z8L93Ze06kleqxbMSXB1Ame9tZ9dj2x5hcMAWCM7n3pZ28tbeRdw+2ELGcveSF4wtZdtWHmF+Zj7G+hcPr65m1tITTZy0guuNGQlu3EtqyheZX/0pzvE/XuHH45juHzHPmz8c3bx6usrJsvkwhRpSMHPpWSpnATuAi4BDwDnCd1nprX22WVZp63U15J7xuMcyoePA33GB6wEw370p7+ki7weVzJrcf3Dlp5slTUpknD1zeUbXBEInZbKxq4dntb7Oq7l+J1V1OsPFMlIIFlYUsn1bCiumlnDalhHyfG601qx/dyebVh1l6yWTOuGJar0PWVmsroW3bCG1xAndo61Yi+/cnyl3l5c7v3fPnO0F8/nxc5eXys4gY1ZRSWT30fTqwW2u9Nz6Yx4ArgD4DNWPnw5ee6fHDSY8zXHvqeSZsr7rp2qerOxjte99yLvtjOkr7/vrUdvzMcAu0lZTWPZb7K7OdZdvuTneV2TGwomBF4lO6dBSiQQi1ppbHImCFnbJoJ8fMcIE3Pz4VJKXjkycvfb63AHwF3WlP7pAM+KGoxbsHW3hnfxNv72ti3YEmQlEb37gn8BR6+NjsKzlnxiROn1pCYU7vs73feHI3m1cfZskHJ6UN0gBmYSG5y5eTu3x5Is/q6CC8bRvBeOAObdlKx2uvJf7OzNLSxJ63b/58cubNw1VZKcFbiKPIVKAeD1QlLR8Czui3hemB4ikZWr0YtbSGWKg7aEeDSVNn73mkA8IdEG5Pmtqgow6a9nbnDWQDQJlO0PYVgLcwKV3QPU8uTylL2kgwjv+sctvW7G8MsKW6jc3Vrazb38z7h1qIWhqlYPbYfK49bRKLJ3u46/1NXD7jcr6x4rQ++9vyt8Ns/EsVC88dz4qrph9TEDXz8vCfdhr+07r7tzs7CW3fkdjrDm3ZQuOaNxLXlJtFRSl73t7Zs/FMnOic0T8QWsc3+ro28mKpG3x20kafHUvagOzacOy5UTrQMrt7/enG5CTS1OmZdwx1jtpuBJKNOCBzgTrdu9nrL0gpdRNwE8CkSZMytGoxqinVfYibksz1a8Ug0hXIO5xgHm539u4T6TYn3TUPt0NbNYS3d+fZ/V+yBIAnPzV49wjoMXcBncpPs+XjSMRDVcDNgYDJ7laD9xtsaiNeYrhwGYqFEwr57MqpnD61hGWTSyj0O3vMD215iIgd5hOzP9HnMKp3NbP60Z1MmlfCWdfMQFkRiIWTjmbE07FwUjDsOsKR/siIYUXwWxH8E6NQmQPnL8IOziJ8qJFQVRPBQ62E9m2k8a03nUsrcbZ/PMUuPCUm3mIDb5GNp9DCk29hEE1djx3t8/UIMVJk6jfqFcA3tdYXx5f/A0Br/d99tVm2bJlet27dCa87G5Lfs8R9KNKV9ajj5Oleeb376l1nQP0fZT09+0jZhu+x7nRH8vt7Hal9Dfw1HrWPNOum33X3038/Zf2Nsa/3sOtSnZhtJy7lsWw7cdmPZdkQC2JE2lGRdlyRdsxIG0bUSRuRDlS4e9kVbccdC+C1OvBZHfjsAH4dwMfRg5Ft+lC+AlRykHf7wbawrSiX6wMUa4Pf2GXde5mx7oAaCHt5/ODX8BodfGzMV/DSetR1HjNlpj/fwHRjazfhFkW4CSLNmnBjjHBjlGhz0g1bFLiLfLhLcnGX5uIuK8BTVoi7rBD3mCJcJUUory/9uQ+G2zlykTix0Ug60VF1L/cqM5LKk8q68rsGBgM/6bXPdv2cAHq0kz9HpBF2tEBrlDc3q79RvwPMVEpNBQ4D1wKf7K/B1po2TvnPF5O+RHsHoHSPFxtIkEn3xdpfEBt4gBDiROXHp24e08DvNfG7TXI8Jn6/izyvi9I8D2PyvJTlKCp8USq8ESb6nbkn1tF92D7UhhFuTd2zD7VBoBEMk7WmxQF3lH/UJU7wcXmdKR7EtOHlrxvOIapyufLcLXiLP5d00p43Kbh6ktp1t0/N6+cEwH4O8RtATnxKZodCRPbtI7x7D5F9e4lUHSJ6+DCB/YeIvX2wVz9mURGusjG4ysowx4zBNaYMV0kxRn4BZmEBRn4+ZkEhZkG+k5efP/DD7EJkSUb+QrXWMaXUzcALOJdn/UprvaW/NkU5bq5YXAmQ/vZ3XRuN8a3F5CqqR53kPlTPSgPsI/mC+O683itKu+4e/ads+yY2fo/+GtP10d96Uvvq8fr7HE/fY6VHH0dbd3/vYbpHw/UcY+q/X+8+er5O1c+/Q7//fil99fc6+uk/zXthGApXj9tNmoaBqRSGAS7DSNxq0mUY8Ruyxesqhdtl4HebuAb5ucqPv3ILxbUb+OA1LzlBs4f3/1rFwYZdnHvdLErOvWhQx3KsDJ8P39y5+ObO7VVmh8NED1cTPXyIaHUNsYZ6Yg0NxOrrseobiBzYQKy+PvU2qmkojweVk+PcjS7Hh+HLwfD5nDyf8+CTxN3w3K743fN63PXO7C5XLlfSXrhKc1Mi6HXTo75uXGT08bfRxx5E2iOkfe1s9LkX0kd+v7/HD2Ac6bruWa9Xu6Ovs9e6ei2nHWD/6znaOgayngzu5WVsU1Jr/Tzw/EDrVxbl8K0rFmRq9UKINI4EjvBK1St8Zv5n8KQJ0k01Ad58ag9TFpYy/5zxWRjh8TO8XrzTpuKdNrXPOlprdDCI1daG1daG3daG1daO1daK3daO1dbm3DM9FMYOBdHBEHYohA4691CPtbU5y8n3m+964Mtg3VteiB7kmI8QI9gTO59Aa801s67pVaZtzasPb8flNTj/7+eOyMuklFIovx/D78ddUTFo69G23Stwp31Yj4aUB+4kP5gn3cN1bLvvM5+PKb+vun110d9v65nOV0cpHsBYjrY8gIeh9HrNR+1zgHWSlRzfCa8SqIUYoaJWlCd3PcnZE85mQv6EXuXb3qyhZncr5//9nMQTsMTxUYaB8njAI++jyLzB/XFMCJE1L1e9TEOwIe0lWcH2CG88tZtxMwqZu2JcFkYnhBgoCdRCjFCPbnuU8XnjWVm5slfZ2mf2Eg1anPfJOfEn0gkhhioJ1EKMQJsbNrOhbgOfmvspzB6XRbXUdrJ1TQ3zzxlPSWVuHz0IIYYKCdRCjEAPbX2IXHcuV824qlfZW3/Yi+k2WHbplJM/MCHEMZNALcQIcyRwhJf2v8RHZ36UPE/qE+rqDrSxZ0Mdp1w4UU4gE2KYkEAtxAjz6PZHsbH51NxP9Sp78+k9+PLcLLlQ7rUvxHAhgVqIEaQz2snvd/6eD0z6AOPzUm9gUrW1iUPbm1n2oSl4cuTKTCGGCwnUQowgT+16ivZIO5+e9+mUfG1r3ly1h/xSHwuG2R3IhBjtJFALMUKErTAPbH6AZWOXcUr5KSllu9fXUX+wnTM+MhXTLR97IYaTrB3/aqoJ8Nhdbzv3ozecm9EbRvw2bmnznLQzV86d2tLlGQojMVfxe9zHb3gff0CCivepjO51pdRL5CXVTSpPn6cwzPiUlFaG0SvPyVeYppG2XWIcQhyDP+z+A3XBOu46666UfCtm89Yzeykdn8vM0wfvNppCiMGRtUBtugwKSn1oWzu3tbWde9x2p0FbNlaPPNuO3yM3XZ4dvwm/rZ1n0GsdL6M7z3aeI0xX3SF6L33DUKieAd5QmG4D023ichuYrviyK76cyDNxueLL8TyX28TlMXB7Tdw+F26vicdnOsteF+542pCbXwxLUTvKLzf9kkVli1g+bnlK2dbXq2mrD3LZFxfJv68Qw1DWAnVhWQ6X/tOibK0+oetG+cnBuyu4J4J8jzydtFGQyLM1tuXUsy2Ntm0sS6OT8pxyG21ppywlX2NbNtrW3e268hP1bKyYjRV1pljUWY6GIlix+HI8r6vMjh3blojLbSSCttfvxpfnxud34ct1481148t148t1JdI5+R5yCz24PH0/a1gMvuf2PEd1oJqvLv9qytGYSCjGO8/vZ9yMQiYvKM3iCIUQx2vUn/rZdajbdP434mhbJwJ3LGITDceIhi0iIYto2CIa6ns53BkjFIjSVh8k1Bkl3Bnr81G1Xr8Lf4GH3CIv/kIPuYVecgu95Jf6KBiTQ8EYHx7fqP9zGxRhK8xP3/sp80vnc/b4s1PK3v9rFcG2CJf+40L5OUWIYUq+OUc4ZShcHtPZ480F8B53X7atiQRjhDqihDqjhDqiBNujdLaFCbRE6GwNE2gNU7OrlUBbuNfefE6+m/zSHArH+Cgoy6GkMpeScXkUj/XLCU4n4NFtj1ITqOGulXelBONgR4QNLx5k6uIxVEwrzOIIhRAnQgK1GDDDUPFD3+6j1tVaEwpEaW8M0VofpK0hSFtjiLb6ILX729i9oT7+LF5nY6KwLIfSylxKKnMpm5RP+ZQCcguPf6NitGgNt/KLTb9g5fiVnD7u9JSy9X86QCxssfyK6VkanRAiEyRQi+2bJrgAAA8+SURBVEGhlCInz0NOnofyyQW9yq2oTUtdJ03VAZpqAjRVB2isDrB3Y33iBL/cIi9jpxRQPiWfimmFjJ1agMs9An+fOAH3b7qf9kg7t556a0p+W2OQTa8dYvaKcfLgDSGGOQnUIitMt0Hp+DxKx6feizoasWg42E7dgXZq97dRt7+NvRvrnTYug4ppBYyfXcz4WUWMnVI4qg+Z727ezW+3/pbLp1/O7JLZKWVvP7MPheL0D0/N0uiEEJkigVoMKW6PybgZRYybUZTICwWi1Oxu4fDOFg7vbObt5/aBds5QnzC3hCkLS5m8YAx5xaPnULnWmjvfuhO/289ty25LKas/2M6Ot4+w5KJJ5Jf4sjRCIUSmSKAWQ54v183UxWVMXVwGOIG7elcLVduaOLCpkf3vNwA7GDMxjymLxjBz6dgRf7h31e5VbKjbwDdXfJMSX0kiX2vNG0/txud3s/SSyVkcoRAiUyRQi2HHl+tm2illTDulDH2tpqkm4ATsTQ2sf34/6/64n5LKXGYuG8uMZeUUlfuzPeSMagg28L3132NJ+RKumpn6vOmD8QdvnHXNTLz+o5/0J4QY+iRQi2FNKUVpZR6llXmcevFkAq1h9myoZ/f6WtY+s5e1z+ylfHI+c88cx8zTxg774KW15mtrvkYwFuSbK76Jobp/o7dtzZtP7aZgjI8F58qDN4QYKSRQixElt9DLovMnsOj8CbQ3hdi9vo4dbx3htUd38voTu5lxajlzV46jcmbRsLwByKPbH2XN4TV85YyvMK1oWkrZ1r8dpvFwgA9+fj6ma/SeZCfESHPCgVop9U3gRqA+nvUVrfXzJ9qvECcqv8THkosmccqFE6k/2M7WNTXsevsIO9YeobAshwXnjmfuykq8w+TZzBvrNnLPuns4e/zZXDv72pSyzrYIb67ay/jZxcxYWp6lEQohBkOmvqHu1Vr/T4b6EiKjlFKUTy6gfHIBKz82g70b6tjyt2rWPLGbtc/uY+7yChaeP4HiiqF7Alp9Zz23vXobFf4K/vvs/+51NOCNp3YTi1ice92sYXmkQAjRt+GxKyFEhrg9JrOXj2P28nHUHWhj0yuH2LKmmk2vHWbS/BIWXTCRSfNKhlSwa4+088WXv0hHtIOfXfQzCr2ptwM9vKOZHW8dYekl/7+9e4/N6r7vOP7+2o+NjY0xtjHY2MYuxuYaLnFQA4WkChDSdc2IGpH+k6yblrQiUafkn0yTmin7Z41U8QdKMm1Vb1O7qp2UjVKykMKYw6qImBiICXa42OBrDDb1/fb4+e2P54HY9e2xsX2OzeclHZ3znOdcvv7q6Pf1uTy/s9LX/2yIyNRMV6F+0cyeBcqAV5xzt6dpuyIzJnNlCo/95ToefqqQix/UU1Faz9HD50lfkcyWvXmsLskkJtbbe729wV5eOvkSl29f5vBjhylaUjTs+/6eICd+fomUpYk8+LV8b4IUkRllLooXMpvZ74HR3jj/98CHwC3C71X6RyDLOfdXY2zneeB5gLy8vAevX78+xbBFpt9gMMTlss8pP36D1oYuFqUnsHl3Hmt3ZBHnwWs8e4O9vHzqZU7Xn+YHu37AEwVPjFjm5L9dovIPjex/ZeuwTmJExH/M7KxzrmTS60VTqCcRRD5w1Dm3YaJlS0pKXFlZ2bTtW2S6uJCjpqKF8veu03i1jYTkOB74ag4bH8khIXl2ft7V3t/OSydeory5nO8//H2+WfTNEctcLvuc4z+6yNbHV/Lwfr14Q8Tvplqop+Op7yznXGPk436g4l63KeIlizEKHsig4IEMGq78kfL3rnPmt9V8fPwG63dks2l37ox2zVnbUcv3/ud7VLdV88Yjb7Avf9+IZVrqOzn580ss/9Jitv25+vMWmc+m4x71G2a2mfCl7xrghWnYpogvZBemkl2YSkt9J+XHb/DJqTo+OVVHYUkmW/bmkZGzaFr390HdB7z6was453jzsTfZnr19xDJdbX0ce/sC8YkB9r2wQb+ZFpnnpvXS92To0rfMRR2tvZw/UcunpxsY6Bskd+0StuxZSc7aJff0pHj3QDeHyw/zi0u/oGhJEYcePURuSu6I5Xq7Bnjnhx/T3tLLk3+7meUFi0fZmoj4kS/uUU+GCrXMZX3dA1SU1nPhZB3d7f2k5ySzZU8ehSWZxE7ySfGPmj7itT+8Rm1HLQeKD/BKySskBhJHLNf1xz6Ovnme1sYuvn5wE7lr00bZmoj4lQq1iAcGB0JUnWni3Ps3uN3UzcLF8azdnsW6HdmkZIwstkPVdtRy6Owh3r/+PjnJOby+43UeWv7QqMvevNHBsbcv0NsdZN/fbGDlhvSZ+HNEZAapUIt4yIUc1y+2UFFaz42KFhyQty6NNQ9nkb8xg7gFX/y8q6mriZ9U/ITffPYbAjEBvr3+2zy3/jkWxo18y9fgQIiPj1+n7Hc1JKbE82cHH2Bp7vTeFxeR2eHZU98iEn5SPH9jBvkbM+ho7eXT/2vg0ukGjv/oIoG4GFZuSCepyHEy+Fv+s+k/wME3Cr/Bwc0HyVw4sm/u3s4BPvuoifLjN+i83UfRtmXsPFBEQtLcfvuXiEyezqhFZkgo5KitukVp6TlaPu0nri98KXxwUS+5BUvJzkknKXUB8QmxWIzR1x2krbmb5usdNF5tw4UcWasW89DXC3Q/WmQe0Bm1iE8456hsreRY9TGOXD1Ca0IrK3bm8FTat1jf/xBt1QO0NnRx9pMa/vT/5NhADOkrktiyJ5fCB5eRkZvsq37HRWT2qVCLTJPqtmrerX6Xd6vfpaa9hoAF2Jmzk6eLnmZ79nZiY4Z3Qzo4EKK3a4CBvkEGB0MkJMWRmBznef/iIuIvKtQiUxQMBTnXfI7SulJO1Z2iuq0awyhZXsKz659lT94eUhPG7n87Ni6GpNQFsxixiMxFKtQik9Dc3cyZpjOcrj/N6frTtPW1EYgJULKshAPFB9idt5tlScu8DlNE5hEVapFxtPW1UdZUxoeNH3Km6QzX2q4BkLoglUdyHmFXzi52ZO8gOT7Z40hFZL5SoRaJcM5R21HL+Zvn7w5VrVU4HImBRLYu28r+wv1sy9pG8ZLiEfecRURmggq13Ldu9dyisrWSSy2XuHDzAhduXaC1txWApLgkNmZs5Lubv8uXs77MhvQNxMXqN8wiMvtUqGXe6x/sp7ajls9uf0ZlayVVrVVUtlbS0ttyd5n8lHx2rtjJpsxNbFq6iVWLV+mMWUR8QYVa5oWQC3Gz+yZ1nXVUt1VT01ZDdXt4XNdZR8iFAAjEBChMLeQrK77CmrQ1FKcVU5xWTEp8isd/gYjI6FSoxfecc7T3t9PS08LNnps0djXS2NlIQ1cDjZ2N1HfW09TdRDAUvLvOgtgFrExZyZq0Newr2EfB4gIKUwtZtXiVLmGLyJyiQi2zKuRCdA500t7XTnt/eOjo7xj2uaWnhZbeFm713Lo7PbQI35GZmElWchYbMzayN3kvK5JXkJ2cTcHiArKSsogxdRwiInOfCvV9wjnHoBu8Ow65ECEXYtANEgwFGQgNfDEMDgyfNzgw/PvIvP5QP73BXnqCPVENXQNddPZ34hi7f/lYiyU9IZ30xHTSEtNYnbqa9MR0MhIz7s7PSspiedJy4mPjZzGDIiLe8KxQX2u7xjNHnxn1u/Ea8nt5ich4251o2xOuO1MxO0eI0IgCO2IgRCgUGQ8pwnfWm2kJsQkkBBJIDCQOG9IS0u5OLwwsJGVBCinxkWHodOTzwsBC9W0tIjKEZ4U6YAHSEsZ+I9B4jbUxfkM+7vcT1IDx1p1wv/cS8wTrxlosZsPHMRYz+kAMMTGRcWTeeOvHxcSFh9i4L6ZHmReICYxYJjGQSEIgQZeZRURmiGeFOi8lj7d2v+XV7kVEROYEnQaJiIj4mAq1iIiIj6lQi4iI+JgKtYiIiI/Zvfx06J52bNYBVHmy87klA7jldRBzhHIVHeUpespVdJSn6BQ75xZNdiUvOzypcs6VeLj/OcHMypSn6ChX0VGeoqdcRUd5io6ZlU1lPV36FhER8TEVahERER/zslD/i4f7nkuUp+gpV9FRnqKnXEVHeYrOlPLk2cNkIiIiMjFd+hYREfGxWS/UZva0mV00s5CZlQyZn29mPWZ2LjL882zH5idj5Sny3d+Z2RUzqzKzx72K0Y/M7B/MrH7IcfQ1r2PyEzPbFzlurpjZq17H41dmVmNmn0SOoSk9qTtfmdmPzazZzCqGzEszs/fN7HJkvMTLGP1gjDxNqX3y4oy6AngKKB3lu6vOuc2R4TuzHJffjJonM1sHPAOsB/YBb5lZ7OyH52uHhhxHx7wOxi8ix8mbwBPAOuBbkeNJRvfVyDGknx0N91PCbc9QrwInnHOrgRORz/e7nzIyTzCF9mnWC7Vz7pJzTh2dTGCcPD0J/Mo51+ecqwauANtmNzqZo7YBV5xz15xz/cCvCB9PIlFzzpUCrX8y+0ngZ5HpnwF/MatB+dAYeZoSv92jLjCzcjP7XzPb6XUwPrUCqB3yuS4yT77wopldiFx6uu8vwQ2hYyd6DjhuZmfN7Hmvg5kDljnnGgEi40yP4/GzSbdPM1Kozez3ZlYxyjDef++NQJ5zbgvwMvBLM0uZifj8Yop5slHm3VeP7k+Qt7eBVcBmwsfUDz0N1l/u+2NnEnY457YSvk1w0Mx2eR2QzAtTap9mpAtR59zuKazTB/RFps+a2VWgCJi3D3JMJU+Ez4Jyh3zOARqmJ6K5Idq8mdm/AkdnOJy55L4/dqLlnGuIjJvN7B3Ctw1Ge65Gwj43syznXKOZZQHNXgfkR865z+9MT6Z98s2lbzNbeuehKDP7ErAauOZtVL50BHjGzBaYWQHhPJ3xOCbfiDQSd+wn/FCehH0ErDazAjOLJ/xQ4hGPY/IdM0sys0V3poG96DiayBHgucj0c8B/eRiLb021fZr1l3KY2X7gMLAU+J2ZnXPOPQ7sAl43syAwCHzHOTctN+LnorHy5Jy7aGa/Bj4FgsBB59ygl7H6zBtmtpnwJd0a4AVvw/EP51zQzF4E3gNigR875y56HJYfLQPeMTMIt5G/dM79t7ch+YeZ/TvwKJBhZnXAa8A/Ab82s78GbgBPexehP4yRp0en0j6pZzIREREf882lbxERERlJhVpERMTHVKhFRER8TIVaRETEx1SoRUREfEyFWkRExMdUqEVERHxMhVpERMTH/h+P9HjnDYGKMAAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 576x576 with 3 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "2LT4aN_AtfHy",
        "colab_type": "text"
      },
      "source": [
        "We can also plot the $\\mu$ of each Gaussian with respect to $x$, and show the range of by highlighting a region between $\\mu-\\sigma$ and $\\mu+\\sigma$."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "As6nO-g9tfHz",
        "colab_type": "code",
        "colab": {},
        "outputId": "7e02e66f-ac5a-46ae-fc79-a113aa96691d"
      },
      "source": [
        "plt.figure(figsize=(8, 8), facecolor='white')\n",
        "for mu_k, sigma_k in zip(mu_data.T, sigma_data.T):\n",
        "    plt.plot(x_test_data, mu_k)\n",
        "    plt.fill_between(x_test_data, mu_k-sigma_k, mu_k+sigma_k, alpha=0.1)\n",
        "plt.scatter(mdn_x_data, mdn_y_data, marker='.', lw=0, alpha=0.2, c='black')\n",
        "plt.xlim([-10,10])\n",
        "plt.ylim([-10,10])\n",
        "plt.show()"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 576x576 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "kidFAZ10tfH1",
        "colab_type": "text"
      },
      "source": [
        "In the plot above, we see that for every point on the $x$-axis, there are multiple lines or states where $y$ may be, and we select these states with probabilities modelled by $\\Pi$. Note that the network won't find an ideal solution every time. It's possible to get lower loss by using more Gaussians, but the results are harder to interpret.\n",
        "\n",
        "If we want to sample from the network we will need to pick a Gaussian $k$ and pick a value (sample) from that Gaussian. Here we use a trick called [Gumbel softmax sampling](http://timvieira.github.io/blog/post/2014/07/31/gumbel-max-trick/) to pick our $k$. We treat the $\\Pi$ weights as a discrete distribution of probabilities, and sample one $k$ for each row of `pi_data`."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "d3nd5ziDtfH3",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "def gumbel_sample(x, axis=1):\n",
        "    z = np.random.gumbel(loc=0, scale=1, size=x.shape)\n",
        "    return (np.log(x) + z).argmax(axis=axis)\n",
        "\n",
        "k = gumbel_sample(pi_data)"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "EjrHKqhFtfH5",
        "colab_type": "text"
      },
      "source": [
        "Now that we have selected $k$ for each row, we can select $\\sigma$ and $\\mu$ as well. We will use `np.random.randn` to sample from each Gaussian, scaling it by $\\sigma$ and offsetting it by $\\mu$."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "vKyTLN-VtfH5",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "indices = (np.arange(n_samples), k)\n",
        "rn = np.random.randn(n_samples)\n",
        "sampled = rn * sigma_data[indices] + mu_data[indices]"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "DttBRIwTtfH7",
        "colab_type": "text"
      },
      "source": [
        "With these sampled  y  values, we can overlay them on the original distribution to see how accurately the network captures the shape."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "JxNOrtyHtfH7",
        "colab_type": "code",
        "colab": {},
        "outputId": "fcfb1fbe-a39e-4a99-880d-094b3e2dc1ff"
      },
      "source": [
        "plt.figure(figsize=(8, 8))\n",
        "plt.scatter(mdn_x_data, mdn_y_data, alpha=0.2)\n",
        "plt.scatter(x_test_data, sampled, alpha=0.2, color='red')\n",
        "plt.show()"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 576x576 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "4-J_BsAutfH9",
        "colab_type": "text"
      },
      "source": [
        "## Exercises\n",
        "\n",
        "- How do more or fewer Gaussians affect the result?\n",
        "- How do more or fewer hidden nodes affect the result?\n",
        "- What other kinds of nonlinear activation functions work besides `Tanh()`? Try `Sigmoid()` too."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "PbuBjbnqtfH-",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        ""
      ],
      "execution_count": 0,
      "outputs": []
    }
  ]
}